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Simplifying 5(3x + -2) + -3(x + -1h) = 4(kx + 2) Reorder the terms: 5(-2 + 3x) + -3(x + -1h) = 4(kx + 2) (-2 * 5 + 3x * 5) + -3(x + -1h) = 4(kx + 2) (-10 + 15x) + -3(x + -1h) = 4(kx + 2) Reorder the terms: -10 + 15x + -3(-1h + x) = 4(kx + 2) -10 + 15x + (-1h * -3 + x * -3) = 4(kx + 2) -10 + 15x + (3h + -3x) = 4(kx + 2) Reorder the terms: -10 + 3h + 15x + -3x = 4(kx + 2) Combine like terms: 15x + -3x = 12x -10 + 3h + 12x = 4(kx + 2) Reorder the terms: -10 + 3h + 12x = 4(2 + kx) -10 + 3h + 12x = (2 * 4 + kx * 4) -10 + 3h + 12x = (8 + 4kx) Solving -10 + 3h + 12x = 8 + 4kx Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3h + 10 + 12x = 8 + 10 + 4kx Reorder the terms: -10 + 10 + 3h + 12x = 8 + 10 + 4kx Combine like terms: -10 + 10 = 0 0 + 3h + 12x = 8 + 10 + 4kx 3h + 12x = 8 + 10 + 4kx Combine like terms: 8 + 10 = 18 3h + 12x = 18 + 4kx Add '-12x' to each side of the equation. 3h + 12x + -12x = 18 + 4kx + -12x Combine like terms: 12x + -12x = 0 3h + 0 = 18 + 4kx + -12x 3h = 18 + 4kx + -12x Divide each side by '3'. h = 6 + 1.333333333kx + -4x Simplifying h = 6 + 1.333333333kx + -4x
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