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

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


Simplifying
4(3x + -5) + x = -1x + 16

Reorder the terms:
4(-5 + 3x) + x = -1x + 16
(-5 * 4 + 3x * 4) + x = -1x + 16
(-20 + 12x) + x = -1x + 16

Combine like terms: 12x + x = 13x
-20 + 13x = -1x + 16

Reorder the terms:
-20 + 13x = 16 + -1x

Solving
-20 + 13x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 13x + x = 16 + -1x + x

Combine like terms: 13x + x = 14x
-20 + 14x = 16 + -1x + x

Combine like terms: -1x + x = 0
-20 + 14x = 16 + 0
-20 + 14x = 16

Add '20' to each side of the equation.
-20 + 20 + 14x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 16 + 20
14x = 16 + 20

Combine like terms: 16 + 20 = 36
14x = 36

Divide each side by '14'.
x = 2.571428571

Simplifying
x = 2.571428571

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