Q:

need to solve this problem in steps 5(2x+6)=-4(-5-2x)+3x

Accepted Solution

A:
Answer:Simplifying5(2x + 6) = -4(-5 + -2x) + 3xReorder the terms:5(6 + 2x) = -4(-5 + -2x) + 3x(6 * 5 + 2x * 5) = -4(-5 + -2x) + 3x(30 + 10x) = -4(-5 + -2x) + 3x30 + 10x = (-5 * -4 + -2x * -4) + 3x30 + 10x = (20 + 8x) + 3xCombine like terms: 8x + 3x = 11x30 + 10x = 20 + 11xSolving30 + 10x = 20 + 11xSolving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-11x' to each side of the equation.30 + 10x + -11x = 20 + 11x + -11xCombine like terms: 10x + -11x = -1x30 + -1x = 20 + 11x + -11xCombine like terms: 11x + -11x = 030 + -1x = 20 + 030 + -1x = 20Add '-30' to each side of the equation.30 + -30 + -1x = 20 + -30Combine like terms: 30 + -30 = 00 + -1x = 20 + -30-1x = 20 + -30Combine like terms: 20 + -30 = -10-1x = -10Divide each side by '-1'.x = 10Simplifyingx = 10