13x+2x-7=5(x+2)

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Solution for 13x+2x-7=5(x+2) equation:


Simplifying
13x + 2x + -7 = 5(x + 2)

Reorder the terms:
-7 + 13x + 2x = 5(x + 2)

Combine like terms: 13x + 2x = 15x
-7 + 15x = 5(x + 2)

Reorder the terms:
-7 + 15x = 5(2 + x)
-7 + 15x = (2 * 5 + x * 5)
-7 + 15x = (10 + 5x)

Solving
-7 + 15x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 15x + -5x = 10 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-7 + 10x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 10x = 10 + 0
-7 + 10x = 10

Add '7' to each side of the equation.
-7 + 7 + 10x = 10 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 10 + 7
10x = 10 + 7

Combine like terms: 10 + 7 = 17
10x = 17

Divide each side by '10'.
x = 1.7

Simplifying
x = 1.7

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