26-(x+7)=7x-5

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Solution for 26-(x+7)=7x-5 equation:


Simplifying
26 + -1(x + 7) = 7x + -5

Reorder the terms:
26 + -1(7 + x) = 7x + -5
26 + (7 * -1 + x * -1) = 7x + -5
26 + (-7 + -1x) = 7x + -5

Combine like terms: 26 + -7 = 19
19 + -1x = 7x + -5

Reorder the terms:
19 + -1x = -5 + 7x

Solving
19 + -1x = -5 + 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.
19 + -1x + -7x = -5 + 7x + -7x

Combine like terms: -1x + -7x = -8x
19 + -8x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
19 + -8x = -5 + 0
19 + -8x = -5

Add '-19' to each side of the equation.
19 + -19 + -8x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -5 + -19
-8x = -5 + -19

Combine like terms: -5 + -19 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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