10-3x=2x-9x+40

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Solution for 10-3x=2x-9x+40 equation:


Simplifying
10 + -3x = 2x + -9x + 40

Reorder the terms:
10 + -3x = 40 + 2x + -9x

Combine like terms: 2x + -9x = -7x
10 + -3x = 40 + -7x

Solving
10 + -3x = 40 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + -3x + 7x = 40 + -7x + 7x

Combine like terms: -3x + 7x = 4x
10 + 4x = 40 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 4x = 40 + 0
10 + 4x = 40

Add '-10' to each side of the equation.
10 + -10 + 4x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 40 + -10
4x = 40 + -10

Combine like terms: 40 + -10 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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