(-3x+49)+(10x-8)=90

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Solution for (-3x+49)+(10x-8)=90 equation:


Simplifying
(-3x + 49) + (10x + -8) = 90

Reorder the terms:
(49 + -3x) + (10x + -8) = 90

Remove parenthesis around (49 + -3x)
49 + -3x + (10x + -8) = 90

Reorder the terms:
49 + -3x + (-8 + 10x) = 90

Remove parenthesis around (-8 + 10x)
49 + -3x + -8 + 10x = 90

Reorder the terms:
49 + -8 + -3x + 10x = 90

Combine like terms: 49 + -8 = 41
41 + -3x + 10x = 90

Combine like terms: -3x + 10x = 7x
41 + 7x = 90

Solving
41 + 7x = 90

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 7x = 90 + -41

Combine like terms: 41 + -41 = 0
0 + 7x = 90 + -41
7x = 90 + -41

Combine like terms: 90 + -41 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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