26+7x=7-6(-3x+6)

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Solution for 26+7x=7-6(-3x+6) equation: 


Simplifying
26 + 7x = 7 + -6(-3x + 6)

Reorder the terms:
26 + 7x = 7 + -6(6 + -3x)
26 + 7x = 7 + (6 * -6 + -3x * -6)
26 + 7x = 7 + (-36 + 18x)

Combine like terms: 7 + -36 = -29
26 + 7x = -29 + 18x

Solving
26 + 7x = -29 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
26 + 7x + -18x = -29 + 18x + -18x

Combine like terms: 7x + -18x = -11x
26 + -11x = -29 + 18x + -18x

Combine like terms: 18x + -18x = 0
26 + -11x = -29 + 0
26 + -11x = -29

Add '-26' to each side of the equation.
26 + -26 + -11x = -29 + -26

Combine like terms: 26 + -26 = 0
0 + -11x = -29 + -26
-11x = -29 + -26

Combine like terms: -29 + -26 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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