x+2=4(x-3x)

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


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

Reorder the terms:
2 + x = 4(x + -3x)

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

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

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

Solving
2 + x = -8x

Solving for variable 'x'.

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

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

Combine like terms: x + 8x = 9x
2 + 9x = -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 9x = 0

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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