4(x-1)=3(2x-6)+4

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Solution for 4(x-1)=3(2x-6)+4 equation: 


Simplifying
4(x + -1) = 3(2x + -6) + 4

Reorder the terms:
4(-1 + x) = 3(2x + -6) + 4
(-1 * 4 + x * 4) = 3(2x + -6) + 4
(-4 + 4x) = 3(2x + -6) + 4

Reorder the terms:
-4 + 4x = 3(-6 + 2x) + 4
-4 + 4x = (-6 * 3 + 2x * 3) + 4
-4 + 4x = (-18 + 6x) + 4

Reorder the terms:
-4 + 4x = -18 + 4 + 6x

Combine like terms: -18 + 4 = -14
-4 + 4x = -14 + 6x

Solving
-4 + 4x = -14 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-4 + 4x + -6x = -14 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-4 + -2x = -14 + 0
-4 + -2x = -14

Add '4' to each side of the equation.
-4 + 4 + -2x = -14 + 4

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

Combine like terms: -14 + 4 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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