x-10=1.5x-30

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Solution for x-10=1.5x-30 equation:


Simplifying
x + -10 = 1.5x + -30

Reorder the terms:
-10 + x = 1.5x + -30

Reorder the terms:
-10 + x = -30 + 1.5x

Solving
-10 + x = -30 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-10 + x + -1.5x = -30 + 1.5x + -1.5x

Combine like terms: x + -1.5x = -0.5x
-10 + -0.5x = -30 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-10 + -0.5x = -30 + 0.0
-10 + -0.5x = -30

Add '10' to each side of the equation.
-10 + 10 + -0.5x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -0.5x = -30 + 10
-0.5x = -30 + 10

Combine like terms: -30 + 10 = -20
-0.5x = -20

Divide each side by '-0.5'.
x = 40

Simplifying
x = 40

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