3(4x+4)=17x-9+5x+3

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Solution for 3(4x+4)=17x-9+5x+3 equation:


Simplifying
3(4x + 4) = 17x + -9 + 5x + 3

Reorder the terms:
3(4 + 4x) = 17x + -9 + 5x + 3
(4 * 3 + 4x * 3) = 17x + -9 + 5x + 3
(12 + 12x) = 17x + -9 + 5x + 3

Reorder the terms:
12 + 12x = -9 + 3 + 17x + 5x

Combine like terms: -9 + 3 = -6
12 + 12x = -6 + 17x + 5x

Combine like terms: 17x + 5x = 22x
12 + 12x = -6 + 22x

Solving
12 + 12x = -6 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
12 + 12x + -22x = -6 + 22x + -22x

Combine like terms: 12x + -22x = -10x
12 + -10x = -6 + 22x + -22x

Combine like terms: 22x + -22x = 0
12 + -10x = -6 + 0
12 + -10x = -6

Add '-12' to each side of the equation.
12 + -12 + -10x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = -6 + -12
-10x = -6 + -12

Combine like terms: -6 + -12 = -18
-10x = -18

Divide each side by '-10'.
x = 1.8

Simplifying
x = 1.8

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