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Simplifying 3[(5x + 1) + -2] = 2(4x + -3) Reorder the terms: 3[(1 + 5x) + -2] = 2(4x + -3) Remove parenthesis around (1 + 5x) 3[1 + 5x + -2] = 2(4x + -3) Reorder the terms: 3[1 + -2 + 5x] = 2(4x + -3) Combine like terms: 1 + -2 = -1 3[-1 + 5x] = 2(4x + -3) [-1 * 3 + 5x * 3] = 2(4x + -3) [-3 + 15x] = 2(4x + -3) Reorder the terms: -3 + 15x = 2(-3 + 4x) -3 + 15x = (-3 * 2 + 4x * 2) -3 + 15x = (-6 + 8x) Solving -3 + 15x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 15x + -8x = -6 + 8x + -8x Combine like terms: 15x + -8x = 7x -3 + 7x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 7x = -6 + 0 -3 + 7x = -6 Add '3' to each side of the equation. -3 + 3 + 7x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -6 + 3 7x = -6 + 3 Combine like terms: -6 + 3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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