[2x-13]=[7x+15]

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Solution for [2x-13]=[7x+15] equation:


Simplifying
[2x + -13] = [7x + 15]

Reorder the terms:
[-13 + 2x] = [7x + 15]

Remove brackets around [-13 + 2x]
-13 + 2x = [7x + 15]

Reorder the terms:
-13 + 2x = [15 + 7x]

Remove brackets around [15 + 7x]
-13 + 2x = 15 + 7x

Solving
-13 + 2x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 2x + -7x = 15 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-13 + -5x = 15 + 0
-13 + -5x = 15

Add '13' to each side of the equation.
-13 + 13 + -5x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 15 + 13
-5x = 15 + 13

Combine like terms: 15 + 13 = 28
-5x = 28

Divide each side by '-5'.
x = -5.6

Simplifying
x = -5.6

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