(-2x+52)+(10x-26)=90

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Solution for (-2x+52)+(10x-26)=90 equation:


Simplifying
(-2x + 52) + (10x + -26) = 90

Reorder the terms:
(52 + -2x) + (10x + -26) = 90

Remove parenthesis around (52 + -2x)
52 + -2x + (10x + -26) = 90

Reorder the terms:
52 + -2x + (-26 + 10x) = 90

Remove parenthesis around (-26 + 10x)
52 + -2x + -26 + 10x = 90

Reorder the terms:
52 + -26 + -2x + 10x = 90

Combine like terms: 52 + -26 = 26
26 + -2x + 10x = 90

Combine like terms: -2x + 10x = 8x
26 + 8x = 90

Solving
26 + 8x = 90

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 8x = 90 + -26

Combine like terms: 26 + -26 = 0
0 + 8x = 90 + -26
8x = 90 + -26

Combine like terms: 90 + -26 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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