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

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


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

Reorder the terms:
3(5 + 4x) + -3x = 4(x + 3) + -8
(5 * 3 + 4x * 3) + -3x = 4(x + 3) + -8
(15 + 12x) + -3x = 4(x + 3) + -8

Combine like terms: 12x + -3x = 9x
15 + 9x = 4(x + 3) + -8

Reorder the terms:
15 + 9x = 4(3 + x) + -8
15 + 9x = (3 * 4 + x * 4) + -8
15 + 9x = (12 + 4x) + -8

Reorder the terms:
15 + 9x = 12 + -8 + 4x

Combine like terms: 12 + -8 = 4
15 + 9x = 4 + 4x

Solving
15 + 9x = 4 + 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.
15 + 9x + -4x = 4 + 4x + -4x

Combine like terms: 9x + -4x = 5x
15 + 5x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 5x = 4 + 0
15 + 5x = 4

Add '-15' to each side of the equation.
15 + -15 + 5x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 4 + -15
5x = 4 + -15

Combine like terms: 4 + -15 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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