5(3x-4)-3x=8+4(x+3)

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Solution for 5(3x-4)-3x=8+4(x+3) equation:


Simplifying
5(3x + -4) + -3x = 8 + 4(x + 3)

Reorder the terms:
5(-4 + 3x) + -3x = 8 + 4(x + 3)
(-4 * 5 + 3x * 5) + -3x = 8 + 4(x + 3)
(-20 + 15x) + -3x = 8 + 4(x + 3)

Combine like terms: 15x + -3x = 12x
-20 + 12x = 8 + 4(x + 3)

Reorder the terms:
-20 + 12x = 8 + 4(3 + x)
-20 + 12x = 8 + (3 * 4 + x * 4)
-20 + 12x = 8 + (12 + 4x)

Combine like terms: 8 + 12 = 20
-20 + 12x = 20 + 4x

Solving
-20 + 12x = 20 + 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.
-20 + 12x + -4x = 20 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-20 + 8x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 8x = 20 + 0
-20 + 8x = 20

Add '20' to each side of the equation.
-20 + 20 + 8x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 20 + 20
8x = 20 + 20

Combine like terms: 20 + 20 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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