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

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


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

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

Reorder the terms:
3 + 3x = 5 + -2(-4 + 3x)
3 + 3x = 5 + (-4 * -2 + 3x * -2)
3 + 3x = 5 + (8 + -6x)

Combine like terms: 5 + 8 = 13
3 + 3x = 13 + -6x

Solving
3 + 3x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 3x + 6x = 13 + -6x + 6x

Combine like terms: 3x + 6x = 9x
3 + 9x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 9x = 13 + 0
3 + 9x = 13

Add '-3' to each side of the equation.
3 + -3 + 9x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 13 + -3
9x = 13 + -3

Combine like terms: 13 + -3 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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