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

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


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

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

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

Reorder the terms:
-4 + -4 + 4x + 2x = 4

Combine like terms: -4 + -4 = -8
-8 + 4x + 2x = 4

Combine like terms: 4x + 2x = 6x
-8 + 6x = 4

Solving
-8 + 6x = 4

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 4 + 8
6x = 4 + 8

Combine like terms: 4 + 8 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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