3(x+1)+4=5-3(x-2)

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Solution for 3(x+1)+4=5-3(x-2) equation:


Simplifying
3(x + 1) + 4 = 5 + -3(x + -2)

Reorder the terms:
3(1 + x) + 4 = 5 + -3(x + -2)
(1 * 3 + x * 3) + 4 = 5 + -3(x + -2)
(3 + 3x) + 4 = 5 + -3(x + -2)

Reorder the terms:
3 + 4 + 3x = 5 + -3(x + -2)

Combine like terms: 3 + 4 = 7
7 + 3x = 5 + -3(x + -2)

Reorder the terms:
7 + 3x = 5 + -3(-2 + x)
7 + 3x = 5 + (-2 * -3 + x * -3)
7 + 3x = 5 + (6 + -3x)

Combine like terms: 5 + 6 = 11
7 + 3x = 11 + -3x

Solving
7 + 3x = 11 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 3x + 3x = 11 + -3x + 3x

Combine like terms: 3x + 3x = 6x
7 + 6x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 6x = 11 + 0
7 + 6x = 11

Add '-7' to each side of the equation.
7 + -7 + 6x = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 11 + -7
6x = 11 + -7

Combine like terms: 11 + -7 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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