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

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


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

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

Reorder the terms:
-9 + 4 + 6x = 3(x + 3) + -2(x + -3)

Combine like terms: -9 + 4 = -5
-5 + 6x = 3(x + 3) + -2(x + -3)

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

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

Reorder the terms:
-5 + 6x = 9 + 6 + 3x + -2x

Combine like terms: 9 + 6 = 15
-5 + 6x = 15 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-5 + 6x = 15 + 1x

Solving
-5 + 6x = 15 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 6x + -1x = 15 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-5 + 5x = 15 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 5x = 15 + 0
-5 + 5x = 15

Add '5' to each side of the equation.
-5 + 5 + 5x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 15 + 5
5x = 15 + 5

Combine like terms: 15 + 5 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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