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Simplifying 5(cx + -3) + -2 = c(5x + -2) + -3 Reorder the terms: 5(-3 + cx) + -2 = c(5x + -2) + -3 (-3 * 5 + cx * 5) + -2 = c(5x + -2) + -3 (-15 + 5cx) + -2 = c(5x + -2) + -3 Reorder the terms: -15 + -2 + 5cx = c(5x + -2) + -3 Combine like terms: -15 + -2 = -17 -17 + 5cx = c(5x + -2) + -3 Reorder the terms: -17 + 5cx = c(-2 + 5x) + -3 -17 + 5cx = (-2 * c + 5x * c) + -3 -17 + 5cx = (-2c + 5cx) + -3 Reorder the terms: -17 + 5cx = -3 + -2c + 5cx Add '-5cx' to each side of the equation. -17 + 5cx + -5cx = -3 + -2c + 5cx + -5cx Combine like terms: 5cx + -5cx = 0 -17 + 0 = -3 + -2c + 5cx + -5cx -17 = -3 + -2c + 5cx + -5cx Combine like terms: 5cx + -5cx = 0 -17 = -3 + -2c + 0 -17 = -3 + -2c Solving -17 = -3 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -17 + 2c = -3 + -2c + 2c Combine like terms: -2c + 2c = 0 -17 + 2c = -3 + 0 -17 + 2c = -3 Add '17' to each side of the equation. -17 + 17 + 2c = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = -3 + 17 2c = -3 + 17 Combine like terms: -3 + 17 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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