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

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


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

Reorder the terms:
3x + 4(3 + x) = 2 + -1(x + -1)
3x + (3 * 4 + x * 4) = 2 + -1(x + -1)
3x + (12 + 4x) = 2 + -1(x + -1)

Reorder the terms:
12 + 3x + 4x = 2 + -1(x + -1)

Combine like terms: 3x + 4x = 7x
12 + 7x = 2 + -1(x + -1)

Reorder the terms:
12 + 7x = 2 + -1(-1 + x)
12 + 7x = 2 + (-1 * -1 + x * -1)
12 + 7x = 2 + (1 + -1x)

Combine like terms: 2 + 1 = 3
12 + 7x = 3 + -1x

Solving
12 + 7x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + 7x + x = 3 + -1x + x

Combine like terms: 7x + x = 8x
12 + 8x = 3 + -1x + x

Combine like terms: -1x + x = 0
12 + 8x = 3 + 0
12 + 8x = 3

Add '-12' to each side of the equation.
12 + -12 + 8x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 3 + -12
8x = 3 + -12

Combine like terms: 3 + -12 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

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