6(x-8)+12=4(x-7)

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Solution for 6(x-8)+12=4(x-7) equation:


Simplifying
6(x + -8) + 12 = 4(x + -7)

Reorder the terms:
6(-8 + x) + 12 = 4(x + -7)
(-8 * 6 + x * 6) + 12 = 4(x + -7)
(-48 + 6x) + 12 = 4(x + -7)

Reorder the terms:
-48 + 12 + 6x = 4(x + -7)

Combine like terms: -48 + 12 = -36
-36 + 6x = 4(x + -7)

Reorder the terms:
-36 + 6x = 4(-7 + x)
-36 + 6x = (-7 * 4 + x * 4)
-36 + 6x = (-28 + 4x)

Solving
-36 + 6x = -28 + 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.
-36 + 6x + -4x = -28 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-36 + 2x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 2x = -28 + 0
-36 + 2x = -28

Add '36' to each side of the equation.
-36 + 36 + 2x = -28 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = -28 + 36
2x = -28 + 36

Combine like terms: -28 + 36 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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