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

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


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

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

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

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

Combine like terms: -4 + -6 = -10
-10 + 4x + 2x = 4(x + -2) + 2X

Combine like terms: 4x + 2x = 6x
-10 + 6x = 4(x + -2) + 2X

Reorder the terms:
-10 + 6x = 4(-2 + x) + 2X
-10 + 6x = (-2 * 4 + x * 4) + 2X
-10 + 6x = (-8 + 4x) + 2X

Reorder the terms:
-10 + 6x = -8 + 2X + 4x

Solving
-10 + 6x = -8 + 2X + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 6x + -4x = -8 + 2X + 4x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = -8 + 2X + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 2x = -8 + 2X + 0
-10 + 2x = -8 + 2X

Add '10' to each side of the equation.
-10 + 10 + 2x = -8 + 10 + 2X

Combine like terms: -10 + 10 = 0
0 + 2x = -8 + 10 + 2X
2x = -8 + 10 + 2X

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

Divide each side by '2'.
x = 1 + X

Simplifying
x = 1 + X

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