7x-2(4x-3)=26-5x

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Solution for 7x-2(4x-3)=26-5x equation:


Simplifying
7x + -2(4x + -3) = 26 + -5x

Reorder the terms:
7x + -2(-3 + 4x) = 26 + -5x
7x + (-3 * -2 + 4x * -2) = 26 + -5x
7x + (6 + -8x) = 26 + -5x

Reorder the terms:
6 + 7x + -8x = 26 + -5x

Combine like terms: 7x + -8x = -1x
6 + -1x = 26 + -5x

Solving
6 + -1x = 26 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + -1x + 5x = 26 + -5x + 5x

Combine like terms: -1x + 5x = 4x
6 + 4x = 26 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 4x = 26 + 0
6 + 4x = 26

Add '-6' to each side of the equation.
6 + -6 + 4x = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 26 + -6
4x = 26 + -6

Combine like terms: 26 + -6 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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