4x+3-(-2x)-2=5x-34-4x

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Solution for 4x+3-(-2x)-2=5x-34-4x equation:


Simplifying
4x + 3 + -1(-2x) + -2 = 5x + -34 + -4x

Remove parenthesis around (-2x)
4x + 3 + -1 * -2x + -2 = 5x + -34 + -4x

Multiply -1 * -2
4x + 3 + 2x + -2 = 5x + -34 + -4x

Reorder the terms:
3 + -2 + 4x + 2x = 5x + -34 + -4x

Combine like terms: 3 + -2 = 1
1 + 4x + 2x = 5x + -34 + -4x

Combine like terms: 4x + 2x = 6x
1 + 6x = 5x + -34 + -4x

Reorder the terms:
1 + 6x = -34 + 5x + -4x

Combine like terms: 5x + -4x = 1x
1 + 6x = -34 + 1x

Solving
1 + 6x = -34 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 6x + -1x = -34 + 1x + -1x

Combine like terms: 6x + -1x = 5x
1 + 5x = -34 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + 5x = -34 + 0
1 + 5x = -34

Add '-1' to each side of the equation.
1 + -1 + 5x = -34 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -34 + -1
5x = -34 + -1

Combine like terms: -34 + -1 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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