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Simplifying 8(2x + -6) + -5 = 8(c + -3) + (3) Reorder the terms: 8(-6 + 2x) + -5 = 8(c + -3) + (3) (-6 * 8 + 2x * 8) + -5 = 8(c + -3) + (3) (-48 + 16x) + -5 = 8(c + -3) + (3) Reorder the terms: -48 + -5 + 16x = 8(c + -3) + (3) Combine like terms: -48 + -5 = -53 -53 + 16x = 8(c + -3) + (3) Reorder the terms: -53 + 16x = 8(-3 + c) + (3) -53 + 16x = (-3 * 8 + c * 8) + (3) -53 + 16x = (-24 + 8c) + (3) -53 + 16x = -24 + 8c + 3 Reorder the terms: -53 + 16x = -24 + 3 + 8c Combine like terms: -24 + 3 = -21 -53 + 16x = -21 + 8c Solving -53 + 16x = -21 + 8c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 16x = -21 + 53 + 8c Combine like terms: -53 + 53 = 0 0 + 16x = -21 + 53 + 8c 16x = -21 + 53 + 8c Combine like terms: -21 + 53 = 32 16x = 32 + 8c Divide each side by '16'. x = 2 + 0.5c Simplifying x = 2 + 0.5c
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