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

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


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

Reorder the terms:
3(3 + 2x) = 5 + -4(3 + -1x)
(3 * 3 + 2x * 3) = 5 + -4(3 + -1x)
(9 + 6x) = 5 + -4(3 + -1x)
9 + 6x = 5 + (3 * -4 + -1x * -4)
9 + 6x = 5 + (-12 + 4x)

Combine like terms: 5 + -12 = -7
9 + 6x = -7 + 4x

Solving
9 + 6x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 6x + -4x = -7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = -7 + 0
9 + 2x = -7

Add '-9' to each side of the equation.
9 + -9 + 2x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -7 + -9
2x = -7 + -9

Combine like terms: -7 + -9 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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