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

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


Simplifying
3(4 + -5x) + 2(5x + 2) = 3 + x
(4 * 3 + -5x * 3) + 2(5x + 2) = 3 + x
(12 + -15x) + 2(5x + 2) = 3 + x

Reorder the terms:
12 + -15x + 2(2 + 5x) = 3 + x
12 + -15x + (2 * 2 + 5x * 2) = 3 + x
12 + -15x + (4 + 10x) = 3 + x

Reorder the terms:
12 + 4 + -15x + 10x = 3 + x

Combine like terms: 12 + 4 = 16
16 + -15x + 10x = 3 + x

Combine like terms: -15x + 10x = -5x
16 + -5x = 3 + x

Solving
16 + -5x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -5x + -1x = 3 + x + -1x

Combine like terms: -5x + -1x = -6x
16 + -6x = 3 + x + -1x

Combine like terms: x + -1x = 0
16 + -6x = 3 + 0
16 + -6x = 3

Add '-16' to each side of the equation.
16 + -16 + -6x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = 3 + -16
-6x = 3 + -16

Combine like terms: 3 + -16 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667

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