Solve the equation: 5(2x-4)-(10x-24) = 8x - 3.4 = -3x + 0.7

Okay, let's solve this equation step by step. First, we simplify the left side of the original equation: $$5(2x - 4) - (10x - 24)$$ Distribute the 5 and the negative sign: $$10x - 20 - 10x + 24$$ Combine like terms: $$10x - 10x - 20 + 24 = 4$$ So, the equation simplifies to: $$4 = 8x - 3.4 = -3x + 0.7$$ However, there appears to be a mistake or typo in the way the equation is written. We have "8x - 3.4 = -3x + 0.7", but also the beginning with the parenthesis that simplifies to 4. It's likely that the original intention was to solve: $$8x - 3.4 = -3x + 0.7$$ Let's proceed with solving this part: Add 3x to both sides: $$8x + 3x - 3.4 = -3x + 3x + 0.7$$ $$11x - 3.4 = 0.7$$ Add 3.4 to both sides: $$11x - 3.4 + 3.4 = 0.7 + 3.4$$ $$11x = 4.1$$ Divide by 11: $$x = \frac{4.1}{11}$$ $$x = 0.372727...$$ So, let's round to two decimal places: $$x \approx 0.37$$ Now let's address if the original equation should be: $$5(2x - 4) - (10x - 24) = -3x + 0.7$$ We simplified the left side to 4. Therefore, we have: $$4 = -3x + 0.7$$ Subtract 0.7 from both sides: $$4 - 0.7 = -3x + 0.7 - 0.7$$ $$3.3 = -3x$$ Divide by -3: $$x = \frac{3.3}{-3}$$ $$x = -1.1$$ Therefore, if the equation was: $$5(2x - 4) - (10x - 24) = 8x-3.4$$ Then we have: $$4 = 8x - 3.4$$ Add 3.4 to both sides: $$4 + 3.4 = 8x - 3.4 + 3.4$$ $$7.4 = 8x$$ Divide by 8: $$x = \frac{7.4}{8}$$ $$x = 0.925$$ Because of the way the original equation is written, there are multiple possible answers. Assuming the equation intended to be solved is: $$8x - 3.4 = -3x + 0.7$$ Answer: x ≈ 0.37 Assuming the equation intended to be solved is: $$5(2x - 4) - (10x - 24) = -3x + 0.7$$ Answer: x = -1.1 Assuming the equation intended to be solved is: $$5(2x - 4) - (10x - 24) = 8x - 3.4$$ Answer: x = 0.925