4-5(x-2)=x+26

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Solution for 4-5(x-2)=x+26 equation:


Simplifying
4 + -5(x + -2) = x + 26

Reorder the terms:
4 + -5(-2 + x) = x + 26
4 + (-2 * -5 + x * -5) = x + 26
4 + (10 + -5x) = x + 26

Combine like terms: 4 + 10 = 14
14 + -5x = x + 26

Reorder the terms:
14 + -5x = 26 + x

Solving
14 + -5x = 26 + 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.
14 + -5x + -1x = 26 + x + -1x

Combine like terms: -5x + -1x = -6x
14 + -6x = 26 + x + -1x

Combine like terms: x + -1x = 0
14 + -6x = 26 + 0
14 + -6x = 26

Add '-14' to each side of the equation.
14 + -14 + -6x = 26 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 26 + -14
-6x = 26 + -14

Combine like terms: 26 + -14 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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