2(x-7)=4(x+1)-26

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Solution for 2(x-7)=4(x+1)-26 equation: 


Simplifying
2(x + -7) = 4(x + 1) + -26

Reorder the terms:
2(-7 + x) = 4(x + 1) + -26
(-7 * 2 + x * 2) = 4(x + 1) + -26
(-14 + 2x) = 4(x + 1) + -26

Reorder the terms:
-14 + 2x = 4(1 + x) + -26
-14 + 2x = (1 * 4 + x * 4) + -26
-14 + 2x = (4 + 4x) + -26

Reorder the terms:
-14 + 2x = 4 + -26 + 4x

Combine like terms: 4 + -26 = -22
-14 + 2x = -22 + 4x

Solving
-14 + 2x = -22 + 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.
-14 + 2x + -4x = -22 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-14 + -2x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -2x = -22 + 0
-14 + -2x = -22

Add '14' to each side of the equation.
-14 + 14 + -2x = -22 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -22 + 14
-2x = -22 + 14

Combine like terms: -22 + 14 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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