4(x-1)-2(x-3)=10

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Solution for 4(x-1)-2(x-3)=10 equation: 


Simplifying
4(x + -1) + -2(x + -3) = 10

Reorder the terms:
4(-1 + x) + -2(x + -3) = 10
(-1 * 4 + x * 4) + -2(x + -3) = 10
(-4 + 4x) + -2(x + -3) = 10

Reorder the terms:
-4 + 4x + -2(-3 + x) = 10
-4 + 4x + (-3 * -2 + x * -2) = 10
-4 + 4x + (6 + -2x) = 10

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

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

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

Solving
2 + 2x = 10

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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