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Simplifying [(5x + -7) + 2(x + -3)] = [2(x + -2) + (3x + -3)] Reorder the terms: [(-7 + 5x) + 2(x + -3)] = [2(x + -2) + (3x + -3)] Remove parenthesis around (-7 + 5x) [-7 + 5x + 2(x + -3)] = [2(x + -2) + (3x + -3)] Reorder the terms: [-7 + 5x + 2(-3 + x)] = [2(x + -2) + (3x + -3)] [-7 + 5x + (-3 * 2 + x * 2)] = [2(x + -2) + (3x + -3)] [-7 + 5x + (-6 + 2x)] = [2(x + -2) + (3x + -3)] Reorder the terms: [-7 + -6 + 5x + 2x] = [2(x + -2) + (3x + -3)] Combine like terms: -7 + -6 = -13 [-13 + 5x + 2x] = [2(x + -2) + (3x + -3)] Combine like terms: 5x + 2x = 7x [-13 + 7x] = [2(x + -2) + (3x + -3)] Remove brackets around [-13 + 7x] -13 + 7x = [2(x + -2) + (3x + -3)] Reorder the terms: -13 + 7x = [2(-2 + x) + (3x + -3)] -13 + 7x = [(-2 * 2 + x * 2) + (3x + -3)] -13 + 7x = [(-4 + 2x) + (3x + -3)] Reorder the terms: -13 + 7x = [-4 + 2x + (-3 + 3x)] Remove parenthesis around (-3 + 3x) -13 + 7x = [-4 + 2x + -3 + 3x] Reorder the terms: -13 + 7x = [-4 + -3 + 2x + 3x] Combine like terms: -4 + -3 = -7 -13 + 7x = [-7 + 2x + 3x] Combine like terms: 2x + 3x = 5x -13 + 7x = [-7 + 5x] Remove brackets around [-7 + 5x] -13 + 7x = -7 + 5x Solving -13 + 7x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 7x + -5x = -7 + 5x + -5x Combine like terms: 7x + -5x = 2x -13 + 2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 2x = -7 + 0 -13 + 2x = -7 Add '13' to each side of the equation. -13 + 13 + 2x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -7 + 13 2x = -7 + 13 Combine like terms: -7 + 13 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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