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Simplifying 5[3x + 65] = 2[x + 65] Reorder the terms: 5[65 + 3x] = 2[x + 65] [65 * 5 + 3x * 5] = 2[x + 65] [325 + 15x] = 2[x + 65] Reorder the terms: 325 + 15x = 2[65 + x] 325 + 15x = [65 * 2 + x * 2] 325 + 15x = [130 + 2x] Solving 325 + 15x = 130 + 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. 325 + 15x + -2x = 130 + 2x + -2x Combine like terms: 15x + -2x = 13x 325 + 13x = 130 + 2x + -2x Combine like terms: 2x + -2x = 0 325 + 13x = 130 + 0 325 + 13x = 130 Add '-325' to each side of the equation. 325 + -325 + 13x = 130 + -325 Combine like terms: 325 + -325 = 0 0 + 13x = 130 + -325 13x = 130 + -325 Combine like terms: 130 + -325 = -195 13x = -195 Divide each side by '13'. x = -15 Simplifying x = -15
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