4(x-6)+8=2(x-7)

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Solution for 4(x-6)+8=2(x-7) equation:


Simplifying
4(x + -6) + 8 = 2(x + -7)

Reorder the terms:
4(-6 + x) + 8 = 2(x + -7)
(-6 * 4 + x * 4) + 8 = 2(x + -7)
(-24 + 4x) + 8 = 2(x + -7)

Reorder the terms:
-24 + 8 + 4x = 2(x + -7)

Combine like terms: -24 + 8 = -16
-16 + 4x = 2(x + -7)

Reorder the terms:
-16 + 4x = 2(-7 + x)
-16 + 4x = (-7 * 2 + x * 2)
-16 + 4x = (-14 + 2x)

Solving
-16 + 4x = -14 + 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.
-16 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-16 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 2x = -14 + 0
-16 + 2x = -14

Add '16' to each side of the equation.
-16 + 16 + 2x = -14 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -14 + 16
2x = -14 + 16

Combine like terms: -14 + 16 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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