2(7x-8)+7(2-x)=26

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Solution for 2(7x-8)+7(2-x)=26 equation:


Simplifying
2(7x + -8) + 7(2 + -1x) = 26

Reorder the terms:
2(-8 + 7x) + 7(2 + -1x) = 26
(-8 * 2 + 7x * 2) + 7(2 + -1x) = 26
(-16 + 14x) + 7(2 + -1x) = 26
-16 + 14x + (2 * 7 + -1x * 7) = 26
-16 + 14x + (14 + -7x) = 26

Reorder the terms:
-16 + 14 + 14x + -7x = 26

Combine like terms: -16 + 14 = -2
-2 + 14x + -7x = 26

Combine like terms: 14x + -7x = 7x
-2 + 7x = 26

Solving
-2 + 7x = 26

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 26 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 26 + 2
7x = 26 + 2

Combine like terms: 26 + 2 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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