x+3(1-x)=4-6(2x+3)

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Solution for x+3(1-x)=4-6(2x+3) equation:


Simplifying
x + 3(1 + -1x) = 4 + -6(2x + 3)
x + (1 * 3 + -1x * 3) = 4 + -6(2x + 3)
x + (3 + -3x) = 4 + -6(2x + 3)

Reorder the terms:
3 + x + -3x = 4 + -6(2x + 3)

Combine like terms: x + -3x = -2x
3 + -2x = 4 + -6(2x + 3)

Reorder the terms:
3 + -2x = 4 + -6(3 + 2x)
3 + -2x = 4 + (3 * -6 + 2x * -6)
3 + -2x = 4 + (-18 + -12x)

Combine like terms: 4 + -18 = -14
3 + -2x = -14 + -12x

Solving
3 + -2x = -14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
3 + -2x + 12x = -14 + -12x + 12x

Combine like terms: -2x + 12x = 10x
3 + 10x = -14 + -12x + 12x

Combine like terms: -12x + 12x = 0
3 + 10x = -14 + 0
3 + 10x = -14

Add '-3' to each side of the equation.
3 + -3 + 10x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = -14 + -3
10x = -14 + -3

Combine like terms: -14 + -3 = -17
10x = -17

Divide each side by '10'.
x = -1.7

Simplifying
x = -1.7

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