(26x+15)=(31x-10)

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Solution for (26x+15)=(31x-10) equation:


Simplifying
(26x + 15) = (31x + -10)

Reorder the terms:
(15 + 26x) = (31x + -10)

Remove parenthesis around (15 + 26x)
15 + 26x = (31x + -10)

Reorder the terms:
15 + 26x = (-10 + 31x)

Remove parenthesis around (-10 + 31x)
15 + 26x = -10 + 31x

Solving
15 + 26x = -10 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
15 + 26x + -31x = -10 + 31x + -31x

Combine like terms: 26x + -31x = -5x
15 + -5x = -10 + 31x + -31x

Combine like terms: 31x + -31x = 0
15 + -5x = -10 + 0
15 + -5x = -10

Add '-15' to each side of the equation.
15 + -15 + -5x = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -10 + -15
-5x = -10 + -15

Combine like terms: -10 + -15 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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