4(x-2)=x+10

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


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

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

Reorder the terms:
-8 + 4x = 10 + x

Solving
-8 + 4x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 4x + -1x = 10 + x + -1x

Combine like terms: 4x + -1x = 3x
-8 + 3x = 10 + x + -1x

Combine like terms: x + -1x = 0
-8 + 3x = 10 + 0
-8 + 3x = 10

Add '8' to each side of the equation.
-8 + 8 + 3x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 10 + 8
3x = 10 + 8

Combine like terms: 10 + 8 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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