5x+2(3x+7)=32x-7

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Solution for 5x+2(3x+7)=32x-7 equation:


Simplifying
5x + 2(3x + 7) = 32x + -7

Reorder the terms:
5x + 2(7 + 3x) = 32x + -7
5x + (7 * 2 + 3x * 2) = 32x + -7
5x + (14 + 6x) = 32x + -7

Reorder the terms:
14 + 5x + 6x = 32x + -7

Combine like terms: 5x + 6x = 11x
14 + 11x = 32x + -7

Reorder the terms:
14 + 11x = -7 + 32x

Solving
14 + 11x = -7 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
14 + 11x + -32x = -7 + 32x + -32x

Combine like terms: 11x + -32x = -21x
14 + -21x = -7 + 32x + -32x

Combine like terms: 32x + -32x = 0
14 + -21x = -7 + 0
14 + -21x = -7

Add '-14' to each side of the equation.
14 + -14 + -21x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -21x = -7 + -14
-21x = -7 + -14

Combine like terms: -7 + -14 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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