4(x-6)+6=2(x-5)

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Solution for 4(x-6)+6=2(x-5) equation:


Simplifying
4(x + -6) + 6 = 2(x + -5)

Reorder the terms:
4(-6 + x) + 6 = 2(x + -5)
(-6 * 4 + x * 4) + 6 = 2(x + -5)
(-24 + 4x) + 6 = 2(x + -5)

Reorder the terms:
-24 + 6 + 4x = 2(x + -5)

Combine like terms: -24 + 6 = -18
-18 + 4x = 2(x + -5)

Reorder the terms:
-18 + 4x = 2(-5 + x)
-18 + 4x = (-5 * 2 + x * 2)
-18 + 4x = (-10 + 2x)

Solving
-18 + 4x = -10 + 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.
-18 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-18 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 2x = -10 + 0
-18 + 2x = -10

Add '18' to each side of the equation.
-18 + 18 + 2x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -10 + 18
2x = -10 + 18

Combine like terms: -10 + 18 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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