7x+12-4x=2(x-3)+4

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Solution for 7x+12-4x=2(x-3)+4 equation:


Simplifying
7x + 12 + -4x = 2(x + -3) + 4

Reorder the terms:
12 + 7x + -4x = 2(x + -3) + 4

Combine like terms: 7x + -4x = 3x
12 + 3x = 2(x + -3) + 4

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

Reorder the terms:
12 + 3x = -6 + 4 + 2x

Combine like terms: -6 + 4 = -2
12 + 3x = -2 + 2x

Solving
12 + 3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 3x + -2x = -2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = -2 + 0
12 + 1x = -2

Add '-12' to each side of the equation.
12 + -12 + 1x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -2 + -12
1x = -2 + -12

Combine like terms: -2 + -12 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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