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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