3(5x-2)+4x=9x+16-2x

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Solution for 3(5x-2)+4x=9x+16-2x equation: 


Simplifying
3(5x + -2) + 4x = 9x + 16 + -2x

Reorder the terms:
3(-2 + 5x) + 4x = 9x + 16 + -2x
(-2 * 3 + 5x * 3) + 4x = 9x + 16 + -2x
(-6 + 15x) + 4x = 9x + 16 + -2x

Combine like terms: 15x + 4x = 19x
-6 + 19x = 9x + 16 + -2x

Reorder the terms:
-6 + 19x = 16 + 9x + -2x

Combine like terms: 9x + -2x = 7x
-6 + 19x = 16 + 7x

Solving
-6 + 19x = 16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 19x + -7x = 16 + 7x + -7x

Combine like terms: 19x + -7x = 12x
-6 + 12x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 12x = 16 + 0
-6 + 12x = 16

Add '6' to each side of the equation.
-6 + 6 + 12x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 16 + 6
12x = 16 + 6

Combine like terms: 16 + 6 = 22
12x = 22

Divide each side by '12'.
x = 1.833333333

Simplifying
x = 1.833333333

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