26+5x=2(-x+5)-33

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Solution for 26+5x=2(-x+5)-33 equation:


Simplifying
26 + 5x = 2(-1x + 5) + -33

Reorder the terms:
26 + 5x = 2(5 + -1x) + -33
26 + 5x = (5 * 2 + -1x * 2) + -33
26 + 5x = (10 + -2x) + -33

Reorder the terms:
26 + 5x = 10 + -33 + -2x

Combine like terms: 10 + -33 = -23
26 + 5x = -23 + -2x

Solving
26 + 5x = -23 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
26 + 5x + 2x = -23 + -2x + 2x

Combine like terms: 5x + 2x = 7x
26 + 7x = -23 + -2x + 2x

Combine like terms: -2x + 2x = 0
26 + 7x = -23 + 0
26 + 7x = -23

Add '-26' to each side of the equation.
26 + -26 + 7x = -23 + -26

Combine like terms: 26 + -26 = 0
0 + 7x = -23 + -26
7x = -23 + -26

Combine like terms: -23 + -26 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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