(-2x+45)+(10x+29)=90

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Solution for (-2x+45)+(10x+29)=90 equation:


Simplifying
(-2x + 45) + (10x + 29) = 90

Reorder the terms:
(45 + -2x) + (10x + 29) = 90

Remove parenthesis around (45 + -2x)
45 + -2x + (10x + 29) = 90

Reorder the terms:
45 + -2x + (29 + 10x) = 90

Remove parenthesis around (29 + 10x)
45 + -2x + 29 + 10x = 90

Reorder the terms:
45 + 29 + -2x + 10x = 90

Combine like terms: 45 + 29 = 74
74 + -2x + 10x = 90

Combine like terms: -2x + 10x = 8x
74 + 8x = 90

Solving
74 + 8x = 90

Solving for variable 'x'.

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

Add '-74' to each side of the equation.
74 + -74 + 8x = 90 + -74

Combine like terms: 74 + -74 = 0
0 + 8x = 90 + -74
8x = 90 + -74

Combine like terms: 90 + -74 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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