5x+15-x=3(3x+5)+10

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Solution for 5x+15-x=3(3x+5)+10 equation:


Simplifying
5x + 15 + -1x = 3(3x + 5) + 10

Reorder the terms:
15 + 5x + -1x = 3(3x + 5) + 10

Combine like terms: 5x + -1x = 4x
15 + 4x = 3(3x + 5) + 10

Reorder the terms:
15 + 4x = 3(5 + 3x) + 10
15 + 4x = (5 * 3 + 3x * 3) + 10
15 + 4x = (15 + 9x) + 10

Reorder the terms:
15 + 4x = 15 + 10 + 9x

Combine like terms: 15 + 10 = 25
15 + 4x = 25 + 9x

Solving
15 + 4x = 25 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 4x + -9x = 25 + 9x + -9x

Combine like terms: 4x + -9x = -5x
15 + -5x = 25 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -5x = 25 + 0
15 + -5x = 25

Add '-15' to each side of the equation.
15 + -15 + -5x = 25 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 25 + -15
-5x = 25 + -15

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

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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