3(x+4)=7-2(x+3)

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Solution for 3(x+4)=7-2(x+3) equation:


Simplifying
3(x + 4) = 7 + -2(x + 3)

Reorder the terms:
3(4 + x) = 7 + -2(x + 3)
(4 * 3 + x * 3) = 7 + -2(x + 3)
(12 + 3x) = 7 + -2(x + 3)

Reorder the terms:
12 + 3x = 7 + -2(3 + x)
12 + 3x = 7 + (3 * -2 + x * -2)
12 + 3x = 7 + (-6 + -2x)

Combine like terms: 7 + -6 = 1
12 + 3x = 1 + -2x

Solving
12 + 3x = 1 + -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.
12 + 3x + 2x = 1 + -2x + 2x

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

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 1 + -12

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

Combine like terms: 1 + -12 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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