5x+40=9x-30

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Solution for 5x+40=9x-30 equation:


Simplifying
5x + 40 = 9x + -30

Reorder the terms:
40 + 5x = 9x + -30

Reorder the terms:
40 + 5x = -30 + 9x

Solving
40 + 5x = -30 + 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.
40 + 5x + -9x = -30 + 9x + -9x

Combine like terms: 5x + -9x = -4x
40 + -4x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
40 + -4x = -30 + 0
40 + -4x = -30

Add '-40' to each side of the equation.
40 + -40 + -4x = -30 + -40

Combine like terms: 40 + -40 = 0
0 + -4x = -30 + -40
-4x = -30 + -40

Combine like terms: -30 + -40 = -70
-4x = -70

Divide each side by '-4'.
x = 17.5

Simplifying
x = 17.5

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