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Simplifying 6(x + -3) + -8(x + 2) = 5 + -3(x + -4) Reorder the terms: 6(-3 + x) + -8(x + 2) = 5 + -3(x + -4) (-3 * 6 + x * 6) + -8(x + 2) = 5 + -3(x + -4) (-18 + 6x) + -8(x + 2) = 5 + -3(x + -4) Reorder the terms: -18 + 6x + -8(2 + x) = 5 + -3(x + -4) -18 + 6x + (2 * -8 + x * -8) = 5 + -3(x + -4) -18 + 6x + (-16 + -8x) = 5 + -3(x + -4) Reorder the terms: -18 + -16 + 6x + -8x = 5 + -3(x + -4) Combine like terms: -18 + -16 = -34 -34 + 6x + -8x = 5 + -3(x + -4) Combine like terms: 6x + -8x = -2x -34 + -2x = 5 + -3(x + -4) Reorder the terms: -34 + -2x = 5 + -3(-4 + x) -34 + -2x = 5 + (-4 * -3 + x * -3) -34 + -2x = 5 + (12 + -3x) Combine like terms: 5 + 12 = 17 -34 + -2x = 17 + -3x Solving -34 + -2x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -34 + -2x + 3x = 17 + -3x + 3x Combine like terms: -2x + 3x = 1x -34 + 1x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -34 + 1x = 17 + 0 -34 + 1x = 17 Add '34' to each side of the equation. -34 + 34 + 1x = 17 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = 17 + 34 1x = 17 + 34 Combine like terms: 17 + 34 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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