2x-10=7x+45

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Solution for 2x-10=7x+45 equation:


Simplifying
2x + -10 = 7x + 45

Reorder the terms:
-10 + 2x = 7x + 45

Reorder the terms:
-10 + 2x = 45 + 7x

Solving
-10 + 2x = 45 + 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 = 45 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-10 + -5x = 45 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -5x = 45 + 0
-10 + -5x = 45

Add '10' to each side of the equation.
-10 + 10 + -5x = 45 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = 45 + 10
-5x = 45 + 10

Combine like terms: 45 + 10 = 55
-5x = 55

Divide each side by '-5'.
x = -11

Simplifying
x = -11

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