4(x-5)=2x+6

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Solution for 4(x-5)=2x+6 equation:


Simplifying
4(x + -5) = 2x + 6

Reorder the terms:
4(-5 + x) = 2x + 6
(-5 * 4 + x * 4) = 2x + 6
(-20 + 4x) = 2x + 6

Reorder the terms:
-20 + 4x = 6 + 2x

Solving
-20 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-20 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 2x = 6 + 0
-20 + 2x = 6

Add '20' to each side of the equation.
-20 + 20 + 2x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = 6 + 20
2x = 6 + 20

Combine like terms: 6 + 20 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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