5x-(-2x)+3(-x)=3x+7

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Solution for 5x-(-2x)+3(-x)=3x+7 equation:


Simplifying
5x + -1(-2x) + 3(-1x) = 3x + 7

Remove parenthesis around (-2x)
5x + -1 * -2x + 3(-1x) = 3x + 7

Multiply -1 * -2
5x + 2x + 3(-1x) = 3x + 7

Remove parenthesis around (-1x)
5x + 2x + 3 * -1x = 3x + 7

Multiply 3 * -1
5x + 2x + -3x = 3x + 7

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

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

Reorder the terms:
4x = 7 + 3x

Solving
4x = 7 + 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.
4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
1x = 7 + 0
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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