6x+15=7x-20

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Solution for 6x+15=7x-20 equation:


Simplifying
6x + 15 = 7x + -20

Reorder the terms:
15 + 6x = 7x + -20

Reorder the terms:
15 + 6x = -20 + 7x

Solving
15 + 6x = -20 + 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.
15 + 6x + -7x = -20 + 7x + -7x

Combine like terms: 6x + -7x = -1x
15 + -1x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -1x = -20 + 0
15 + -1x = -20

Add '-15' to each side of the equation.
15 + -15 + -1x = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -20 + -15
-1x = -20 + -15

Combine like terms: -20 + -15 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35

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