2x+10=7x-5

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Solution for 2x+10=7x-5 equation:


Simplifying
2x + 10 = 7x + -5

Reorder the terms:
10 + 2x = 7x + -5

Reorder the terms:
10 + 2x = -5 + 7x

Solving
10 + 2x = -5 + 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.
10 + 2x + -7x = -5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
10 + -5x = -5 + 7x + -7x

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

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

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

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

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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