2(x+3)-26=7(1-x)

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Solution for 2(x+3)-26=7(1-x) equation:


Simplifying
2(x + 3) + -26 = 7(1 + -1x)

Reorder the terms:
2(3 + x) + -26 = 7(1 + -1x)
(3 * 2 + x * 2) + -26 = 7(1 + -1x)
(6 + 2x) + -26 = 7(1 + -1x)

Reorder the terms:
6 + -26 + 2x = 7(1 + -1x)

Combine like terms: 6 + -26 = -20
-20 + 2x = 7(1 + -1x)
-20 + 2x = (1 * 7 + -1x * 7)
-20 + 2x = (7 + -7x)

Solving
-20 + 2x = 7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-20 + 2x + 7x = 7 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-20 + 9x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 9x = 7 + 0
-20 + 9x = 7

Add '20' to each side of the equation.
-20 + 20 + 9x = 7 + 20

Combine like terms: -20 + 20 = 0
0 + 9x = 7 + 20
9x = 7 + 20

Combine like terms: 7 + 20 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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