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Simplifying 5[6x + -4(3x + -5)] = 13 + -1(2x + -3) Reorder the terms: 5[6x + -4(-5 + 3x)] = 13 + -1(2x + -3) 5[6x + (-5 * -4 + 3x * -4)] = 13 + -1(2x + -3) 5[6x + (20 + -12x)] = 13 + -1(2x + -3) Reorder the terms: 5[20 + 6x + -12x] = 13 + -1(2x + -3) Combine like terms: 6x + -12x = -6x 5[20 + -6x] = 13 + -1(2x + -3) [20 * 5 + -6x * 5] = 13 + -1(2x + -3) [100 + -30x] = 13 + -1(2x + -3) Reorder the terms: 100 + -30x = 13 + -1(-3 + 2x) 100 + -30x = 13 + (-3 * -1 + 2x * -1) 100 + -30x = 13 + (3 + -2x) Combine like terms: 13 + 3 = 16 100 + -30x = 16 + -2x Solving 100 + -30x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 100 + -30x + 2x = 16 + -2x + 2x Combine like terms: -30x + 2x = -28x 100 + -28x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 100 + -28x = 16 + 0 100 + -28x = 16 Add '-100' to each side of the equation. 100 + -100 + -28x = 16 + -100 Combine like terms: 100 + -100 = 0 0 + -28x = 16 + -100 -28x = 16 + -100 Combine like terms: 16 + -100 = -84 -28x = -84 Divide each side by '-28'. x = 3 Simplifying x = 3
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