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Simplifying 3(x + 5) + -15 = -4(x + -3) + 51 Reorder the terms: 3(5 + x) + -15 = -4(x + -3) + 51 (5 * 3 + x * 3) + -15 = -4(x + -3) + 51 (15 + 3x) + -15 = -4(x + -3) + 51 Reorder the terms: 15 + -15 + 3x = -4(x + -3) + 51 Combine like terms: 15 + -15 = 0 0 + 3x = -4(x + -3) + 51 3x = -4(x + -3) + 51 Reorder the terms: 3x = -4(-3 + x) + 51 3x = (-3 * -4 + x * -4) + 51 3x = (12 + -4x) + 51 Reorder the terms: 3x = 12 + 51 + -4x Combine like terms: 12 + 51 = 63 3x = 63 + -4x Solving 3x = 63 + -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. 3x + 4x = 63 + -4x + 4x Combine like terms: 3x + 4x = 7x 7x = 63 + -4x + 4x Combine like terms: -4x + 4x = 0 7x = 63 + 0 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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