2x+7=10x+22

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Solution for 2x+7=10x+22 equation:


Simplifying
2x + 7 = 10x + 22

Reorder the terms:
7 + 2x = 10x + 22

Reorder the terms:
7 + 2x = 22 + 10x

Solving
7 + 2x = 22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
7 + 2x + -10x = 22 + 10x + -10x

Combine like terms: 2x + -10x = -8x
7 + -8x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -8x = 22 + 0
7 + -8x = 22

Add '-7' to each side of the equation.
7 + -7 + -8x = 22 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 22 + -7
-8x = 22 + -7

Combine like terms: 22 + -7 = 15
-8x = 15

Divide each side by '-8'.
x = -1.875

Simplifying
x = -1.875

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