2x+10=3x-40

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Solution for 2x+10=3x-40 equation:


Simplifying
2x + 10 = 3x + -40

Reorder the terms:
10 + 2x = 3x + -40

Reorder the terms:
10 + 2x = -40 + 3x

Solving
10 + 2x = -40 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = -40 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -40 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -40 + 0
10 + -1x = -40

Add '-10' to each side of the equation.
10 + -10 + -1x = -40 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -40 + -10
-1x = -40 + -10

Combine like terms: -40 + -10 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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