4(x+1)-x+9=-2(x-3)

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Solution for 4(x+1)-x+9=-2(x-3) equation:


Simplifying
4(x + 1) + -1x + 9 = -2(x + -3)

Reorder the terms:
4(1 + x) + -1x + 9 = -2(x + -3)
(1 * 4 + x * 4) + -1x + 9 = -2(x + -3)
(4 + 4x) + -1x + 9 = -2(x + -3)

Reorder the terms:
4 + 9 + 4x + -1x = -2(x + -3)

Combine like terms: 4 + 9 = 13
13 + 4x + -1x = -2(x + -3)

Combine like terms: 4x + -1x = 3x
13 + 3x = -2(x + -3)

Reorder the terms:
13 + 3x = -2(-3 + x)
13 + 3x = (-3 * -2 + x * -2)
13 + 3x = (6 + -2x)

Solving
13 + 3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
13 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
13 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 5x = 6 + 0
13 + 5x = 6

Add '-13' to each side of the equation.
13 + -13 + 5x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 6 + -13
5x = 6 + -13

Combine like terms: 6 + -13 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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