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

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


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

Combine like terms: x + 3x = 4x
4 + 2(4x) = 4 + -1x(2 + -3) + 2x

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

Multiply 2 * 4
4 + 8x = 4 + -1x(2 + -3) + 2x

Combine like terms: 2 + -3 = -1
4 + 8x = 4 + -1x(-1) + 2x

Reorder the terms for easier multiplication:
4 + 8x = 4 + -1 * -1x + 2x

Multiply -1 * -1
4 + 8x = 4 + 1x + 2x

Combine like terms: 1x + 2x = 3x
4 + 8x = 4 + 3x

Add '-4' to each side of the equation.
4 + -4 + 8x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
0 + 8x = 4 + -4 + 3x
8x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
8x = 0 + 3x
8x = 3x

Solving
8x = 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.
8x + -3x = 3x + -3x

Combine like terms: 8x + -3x = 5x
5x = 3x + -3x

Combine like terms: 3x + -3x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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