7x+12=2(2x+5)-x

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Solution for 7x+12=2(2x+5)-x equation:


Simplifying
7x + 12 = 2(2x + 5) + -1x

Reorder the terms:
12 + 7x = 2(2x + 5) + -1x

Reorder the terms:
12 + 7x = 2(5 + 2x) + -1x
12 + 7x = (5 * 2 + 2x * 2) + -1x
12 + 7x = (10 + 4x) + -1x

Combine like terms: 4x + -1x = 3x
12 + 7x = 10 + 3x

Solving
12 + 7x = 10 + 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.
12 + 7x + -3x = 10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
12 + 4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 4x = 10 + 0
12 + 4x = 10

Add '-12' to each side of the equation.
12 + -12 + 4x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 10 + -12
4x = 10 + -12

Combine like terms: 10 + -12 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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