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

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


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

Reorder the terms:
7(-2 + x) + 12 = 4(x + -2)
(-2 * 7 + x * 7) + 12 = 4(x + -2)
(-14 + 7x) + 12 = 4(x + -2)

Reorder the terms:
-14 + 12 + 7x = 4(x + -2)

Combine like terms: -14 + 12 = -2
-2 + 7x = 4(x + -2)

Reorder the terms:
-2 + 7x = 4(-2 + x)
-2 + 7x = (-2 * 4 + x * 4)
-2 + 7x = (-8 + 4x)

Solving
-2 + 7x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 7x + -4x = -8 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-2 + 3x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 3x = -8 + 0
-2 + 3x = -8

Add '2' to each side of the equation.
-2 + 2 + 3x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -8 + 2
3x = -8 + 2

Combine like terms: -8 + 2 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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