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

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


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

Reorder the terms:
3(2 + x) + 3 = 4 + -2(x + 1)
(2 * 3 + x * 3) + 3 = 4 + -2(x + 1)
(6 + 3x) + 3 = 4 + -2(x + 1)

Reorder the terms:
6 + 3 + 3x = 4 + -2(x + 1)

Combine like terms: 6 + 3 = 9
9 + 3x = 4 + -2(x + 1)

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

Combine like terms: 4 + -2 = 2
9 + 3x = 2 + -2x

Solving
9 + 3x = 2 + -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.
9 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 2 + 0
9 + 5x = 2

Add '-9' to each side of the equation.
9 + -9 + 5x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 2 + -9
5x = 2 + -9

Combine like terms: 2 + -9 = -7
5x = -7

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

Simplifying
x = -1.4

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