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

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


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

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

Reorder the terms:
-9 + 6x + -2(4 + x) = 3(x + 3)
-9 + 6x + (4 * -2 + x * -2) = 3(x + 3)
-9 + 6x + (-8 + -2x) = 3(x + 3)

Reorder the terms:
-9 + -8 + 6x + -2x = 3(x + 3)

Combine like terms: -9 + -8 = -17
-17 + 6x + -2x = 3(x + 3)

Combine like terms: 6x + -2x = 4x
-17 + 4x = 3(x + 3)

Reorder the terms:
-17 + 4x = 3(3 + x)
-17 + 4x = (3 * 3 + x * 3)
-17 + 4x = (9 + 3x)

Solving
-17 + 4x = 9 + 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.
-17 + 4x + -3x = 9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-17 + 1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 1x = 9 + 0
-17 + 1x = 9

Add '17' to each side of the equation.
-17 + 17 + 1x = 9 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = 9 + 17
1x = 9 + 17

Combine like terms: 9 + 17 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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