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Simplifying 3x + 6y + 115 = 4x + 4y + 65 Reorder the terms: 115 + 3x + 6y = 4x + 4y + 65 Reorder the terms: 115 + 3x + 6y = 65 + 4x + 4y Solving 115 + 3x + 6y = 65 + 4x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 115 + 3x + -4x + 6y = 65 + 4x + -4x + 4y Combine like terms: 3x + -4x = -1x 115 + -1x + 6y = 65 + 4x + -4x + 4y Combine like terms: 4x + -4x = 0 115 + -1x + 6y = 65 + 0 + 4y 115 + -1x + 6y = 65 + 4y Add '-115' to each side of the equation. 115 + -1x + -115 + 6y = 65 + -115 + 4y Reorder the terms: 115 + -115 + -1x + 6y = 65 + -115 + 4y Combine like terms: 115 + -115 = 0 0 + -1x + 6y = 65 + -115 + 4y -1x + 6y = 65 + -115 + 4y Combine like terms: 65 + -115 = -50 -1x + 6y = -50 + 4y Add '-6y' to each side of the equation. -1x + 6y + -6y = -50 + 4y + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = -50 + 4y + -6y -1x = -50 + 4y + -6y Combine like terms: 4y + -6y = -2y -1x = -50 + -2y Divide each side by '-1'. x = 50 + 2y Simplifying x = 50 + 2y
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