2(4x+6)-3x+2=x+32

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Solution for 2(4x+6)-3x+2=x+32 equation:


Simplifying
2(4x + 6) + -3x + 2 = x + 32

Reorder the terms:
2(6 + 4x) + -3x + 2 = x + 32
(6 * 2 + 4x * 2) + -3x + 2 = x + 32
(12 + 8x) + -3x + 2 = x + 32

Reorder the terms:
12 + 2 + 8x + -3x = x + 32

Combine like terms: 12 + 2 = 14
14 + 8x + -3x = x + 32

Combine like terms: 8x + -3x = 5x
14 + 5x = x + 32

Reorder the terms:
14 + 5x = 32 + x

Solving
14 + 5x = 32 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 5x + -1x = 32 + x + -1x

Combine like terms: 5x + -1x = 4x
14 + 4x = 32 + x + -1x

Combine like terms: x + -1x = 0
14 + 4x = 32 + 0
14 + 4x = 32

Add '-14' to each side of the equation.
14 + -14 + 4x = 32 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 32 + -14
4x = 32 + -14

Combine like terms: 32 + -14 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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