2x+30=9x-40

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Solution for 2x+30=9x-40 equation:


Simplifying
2x + 30 = 9x + -40

Reorder the terms:
30 + 2x = 9x + -40

Reorder the terms:
30 + 2x = -40 + 9x

Solving
30 + 2x = -40 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
30 + 2x + -9x = -40 + 9x + -9x

Combine like terms: 2x + -9x = -7x
30 + -7x = -40 + 9x + -9x

Combine like terms: 9x + -9x = 0
30 + -7x = -40 + 0
30 + -7x = -40

Add '-30' to each side of the equation.
30 + -30 + -7x = -40 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -40 + -30
-7x = -40 + -30

Combine like terms: -40 + -30 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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