3x+10=2x-30

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Solution for 3x+10=2x-30 equation:


Simplifying
3x + 10 = 2x + -30

Reorder the terms:
10 + 3x = 2x + -30

Reorder the terms:
10 + 3x = -30 + 2x

Solving
10 + 3x = -30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 3x + -2x = -30 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = -30 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = -30 + 0
10 + 1x = -30

Add '-10' to each side of the equation.
10 + -10 + 1x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -30 + -10
1x = -30 + -10

Combine like terms: -30 + -10 = -40
1x = -40

Divide each side by '1'.
x = -40

Simplifying
x = -40

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