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

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


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

Reorder the terms:
4(-7 + x) + 6 = 2(x + -6)
(-7 * 4 + x * 4) + 6 = 2(x + -6)
(-28 + 4x) + 6 = 2(x + -6)

Reorder the terms:
-28 + 6 + 4x = 2(x + -6)

Combine like terms: -28 + 6 = -22
-22 + 4x = 2(x + -6)

Reorder the terms:
-22 + 4x = 2(-6 + x)
-22 + 4x = (-6 * 2 + x * 2)
-22 + 4x = (-12 + 2x)

Solving
-22 + 4x = -12 + 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.
-22 + 4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-22 + 2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 2x = -12 + 0
-22 + 2x = -12

Add '22' to each side of the equation.
-22 + 22 + 2x = -12 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -12 + 22
2x = -12 + 22

Combine like terms: -12 + 22 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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