4(x+3)=5-(x+3)

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Solution for 4(x+3)=5-(x+3) equation:


Simplifying
4(x + 3) = 5 + -1(x + 3)

Reorder the terms:
4(3 + x) = 5 + -1(x + 3)
(3 * 4 + x * 4) = 5 + -1(x + 3)
(12 + 4x) = 5 + -1(x + 3)

Reorder the terms:
12 + 4x = 5 + -1(3 + x)
12 + 4x = 5 + (3 * -1 + x * -1)
12 + 4x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
12 + 4x = 2 + -1x

Solving
12 + 4x = 2 + -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 + 4x + x = 2 + -1x + x

Combine like terms: 4x + x = 5x
12 + 5x = 2 + -1x + x

Combine like terms: -1x + x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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