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

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


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

Reorder the terms:
6(-7 + x) + 4 = 2(x + -7)
(-7 * 6 + x * 6) + 4 = 2(x + -7)
(-42 + 6x) + 4 = 2(x + -7)

Reorder the terms:
-42 + 4 + 6x = 2(x + -7)

Combine like terms: -42 + 4 = -38
-38 + 6x = 2(x + -7)

Reorder the terms:
-38 + 6x = 2(-7 + x)
-38 + 6x = (-7 * 2 + x * 2)
-38 + 6x = (-14 + 2x)

Solving
-38 + 6x = -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.
-38 + 6x + -2x = -14 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-38 + 4x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-38 + 4x = -14 + 0
-38 + 4x = -14

Add '38' to each side of the equation.
-38 + 38 + 4x = -14 + 38

Combine like terms: -38 + 38 = 0
0 + 4x = -14 + 38
4x = -14 + 38

Combine like terms: -14 + 38 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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