X+30=40X-90

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Solution for X+30=40X-90 equation:


Simplifying
X + 30 = 40X + -90

Reorder the terms:
30 + X = 40X + -90

Reorder the terms:
30 + X = -90 + 40X

Solving
30 + X = -90 + 40X

Solving for variable 'X'.

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

Add '-40X' to each side of the equation.
30 + X + -40X = -90 + 40X + -40X

Combine like terms: X + -40X = -39X
30 + -39X = -90 + 40X + -40X

Combine like terms: 40X + -40X = 0
30 + -39X = -90 + 0
30 + -39X = -90

Add '-30' to each side of the equation.
30 + -30 + -39X = -90 + -30

Combine like terms: 30 + -30 = 0
0 + -39X = -90 + -30
-39X = -90 + -30

Combine like terms: -90 + -30 = -120
-39X = -120

Divide each side by '-39'.
X = 3.076923077

Simplifying
X = 3.076923077

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