8x-3(3-x)=4(x+3)

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Solution for 8x-3(3-x)=4(x+3) equation:


Simplifying
8x + -3(3 + -1x) = 4(x + 3)
8x + (3 * -3 + -1x * -3) = 4(x + 3)
8x + (-9 + 3x) = 4(x + 3)

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

Combine like terms: 8x + 3x = 11x
-9 + 11x = 4(x + 3)

Reorder the terms:
-9 + 11x = 4(3 + x)
-9 + 11x = (3 * 4 + x * 4)
-9 + 11x = (12 + 4x)

Solving
-9 + 11x = 12 + 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 + 11x + -4x = 12 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-9 + 7x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 7x = 12 + 0
-9 + 7x = 12

Add '9' to each side of the equation.
-9 + 9 + 7x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 12 + 9
7x = 12 + 9

Combine like terms: 12 + 9 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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