68-(2x+15)=2(x+9)+x

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Solution for 68-(2x+15)=2(x+9)+x equation:


Simplifying
68 + -1(2x + 15) = 2(x + 9) + x

Reorder the terms:
68 + -1(15 + 2x) = 2(x + 9) + x
68 + (15 * -1 + 2x * -1) = 2(x + 9) + x
68 + (-15 + -2x) = 2(x + 9) + x

Combine like terms: 68 + -15 = 53
53 + -2x = 2(x + 9) + x

Reorder the terms:
53 + -2x = 2(9 + x) + x
53 + -2x = (9 * 2 + x * 2) + x
53 + -2x = (18 + 2x) + x

Combine like terms: 2x + x = 3x
53 + -2x = 18 + 3x

Solving
53 + -2x = 18 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
53 + -2x + -3x = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
53 + -5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
53 + -5x = 18 + 0
53 + -5x = 18

Add '-53' to each side of the equation.
53 + -53 + -5x = 18 + -53

Combine like terms: 53 + -53 = 0
0 + -5x = 18 + -53
-5x = 18 + -53

Combine like terms: 18 + -53 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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