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

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


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

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

Combine like terms: 5x + 2x = 7x
10 + 7x = 3x + -10

Reorder the terms:
10 + 7x = -10 + 3x

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

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

Combine like terms: 3x + -3x = 0
10 + 4x = -10 + 0
10 + 4x = -10

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

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

Combine like terms: -10 + -10 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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