2x+209=10x-7

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Solution for 2x+209=10x-7 equation:


Simplifying
2x + 209 = 10x + -7

Reorder the terms:
209 + 2x = 10x + -7

Reorder the terms:
209 + 2x = -7 + 10x

Solving
209 + 2x = -7 + 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.
209 + 2x + -10x = -7 + 10x + -10x

Combine like terms: 2x + -10x = -8x
209 + -8x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
209 + -8x = -7 + 0
209 + -8x = -7

Add '-209' to each side of the equation.
209 + -209 + -8x = -7 + -209

Combine like terms: 209 + -209 = 0
0 + -8x = -7 + -209
-8x = -7 + -209

Combine like terms: -7 + -209 = -216
-8x = -216

Divide each side by '-8'.
x = 27

Simplifying
x = 27

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