4(3x+4)-1=3+5x-9

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Solution for 4(3x+4)-1=3+5x-9 equation:


Simplifying
4(3x + 4) + -1 = 3 + 5x + -9

Reorder the terms:
4(4 + 3x) + -1 = 3 + 5x + -9
(4 * 4 + 3x * 4) + -1 = 3 + 5x + -9
(16 + 12x) + -1 = 3 + 5x + -9

Reorder the terms:
16 + -1 + 12x = 3 + 5x + -9

Combine like terms: 16 + -1 = 15
15 + 12x = 3 + 5x + -9

Reorder the terms:
15 + 12x = 3 + -9 + 5x

Combine like terms: 3 + -9 = -6
15 + 12x = -6 + 5x

Solving
15 + 12x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 12x + -5x = -6 + 5x + -5x

Combine like terms: 12x + -5x = 7x
15 + 7x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 7x = -6 + 0
15 + 7x = -6

Add '-15' to each side of the equation.
15 + -15 + 7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -6 + -15
7x = -6 + -15

Combine like terms: -6 + -15 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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