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

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


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

Reorder the terms:
4(3 + 2x) + -3(x + 3) = 2(3x + -2) + (x + -2)
(3 * 4 + 2x * 4) + -3(x + 3) = 2(3x + -2) + (x + -2)
(12 + 8x) + -3(x + 3) = 2(3x + -2) + (x + -2)

Reorder the terms:
12 + 8x + -3(3 + x) = 2(3x + -2) + (x + -2)
12 + 8x + (3 * -3 + x * -3) = 2(3x + -2) + (x + -2)
12 + 8x + (-9 + -3x) = 2(3x + -2) + (x + -2)

Reorder the terms:
12 + -9 + 8x + -3x = 2(3x + -2) + (x + -2)

Combine like terms: 12 + -9 = 3
3 + 8x + -3x = 2(3x + -2) + (x + -2)

Combine like terms: 8x + -3x = 5x
3 + 5x = 2(3x + -2) + (x + -2)

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

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

Remove parenthesis around (-2 + x)
3 + 5x = -4 + 6x + -2 + x

Reorder the terms:
3 + 5x = -4 + -2 + 6x + x

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

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

Solving
3 + 5x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 5x + -7x = -6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
3 + -2x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -2x = -6 + 0
3 + -2x = -6

Add '-3' to each side of the equation.
3 + -3 + -2x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -6 + -3
-2x = -6 + -3

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

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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