3x-2x+10=10-5x-40

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Solution for 3x-2x+10=10-5x-40 equation:


Simplifying
3x + -2x + 10 = 10 + -5x + -40

Reorder the terms:
10 + 3x + -2x = 10 + -5x + -40

Combine like terms: 3x + -2x = 1x
10 + 1x = 10 + -5x + -40

Reorder the terms:
10 + 1x = 10 + -40 + -5x

Combine like terms: 10 + -40 = -30
10 + 1x = -30 + -5x

Solving
10 + 1x = -30 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 1x + 5x = -30 + -5x + 5x

Combine like terms: 1x + 5x = 6x
10 + 6x = -30 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 6x = -30 + 0
10 + 6x = -30

Add '-10' to each side of the equation.
10 + -10 + 6x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -30 + -10
6x = -30 + -10

Combine like terms: -30 + -10 = -40
6x = -40

Divide each side by '6'.
x = -6.666666667

Simplifying
x = -6.666666667

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