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Simplifying 5x + -3(x + 5) = 4[3x + -4(x + -2)] Reorder the terms: 5x + -3(5 + x) = 4[3x + -4(x + -2)] 5x + (5 * -3 + x * -3) = 4[3x + -4(x + -2)] 5x + (-15 + -3x) = 4[3x + -4(x + -2)] Reorder the terms: -15 + 5x + -3x = 4[3x + -4(x + -2)] Combine like terms: 5x + -3x = 2x -15 + 2x = 4[3x + -4(x + -2)] Reorder the terms: -15 + 2x = 4[3x + -4(-2 + x)] -15 + 2x = 4[3x + (-2 * -4 + x * -4)] -15 + 2x = 4[3x + (8 + -4x)] Reorder the terms: -15 + 2x = 4[8 + 3x + -4x] Combine like terms: 3x + -4x = -1x -15 + 2x = 4[8 + -1x] -15 + 2x = [8 * 4 + -1x * 4] -15 + 2x = [32 + -4x] Solving -15 + 2x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 2x + 4x = 32 + -4x + 4x Combine like terms: 2x + 4x = 6x -15 + 6x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 6x = 32 + 0 -15 + 6x = 32 Add '15' to each side of the equation. -15 + 15 + 6x = 32 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 32 + 15 6x = 32 + 15 Combine like terms: 32 + 15 = 47 6x = 47 Divide each side by '6'. x = 7.833333333 Simplifying x = 7.833333333
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