4(x+2)=12-7(x+3)

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Solution for 4(x+2)=12-7(x+3) equation:


Simplifying
4(x + 2) = 12 + -7(x + 3)

Reorder the terms:
4(2 + x) = 12 + -7(x + 3)
(2 * 4 + x * 4) = 12 + -7(x + 3)
(8 + 4x) = 12 + -7(x + 3)

Reorder the terms:
8 + 4x = 12 + -7(3 + x)
8 + 4x = 12 + (3 * -7 + x * -7)
8 + 4x = 12 + (-21 + -7x)

Combine like terms: 12 + -21 = -9
8 + 4x = -9 + -7x

Solving
8 + 4x = -9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 4x + 7x = -9 + -7x + 7x

Combine like terms: 4x + 7x = 11x
8 + 11x = -9 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 11x = -9 + 0
8 + 11x = -9

Add '-8' to each side of the equation.
8 + -8 + 11x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = -9 + -8
11x = -9 + -8

Combine like terms: -9 + -8 = -17
11x = -17

Divide each side by '11'.
x = -1.545454545

Simplifying
x = -1.545454545

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