3(5-4x)+1=3(x+2)-5x

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Solution for 3(5-4x)+1=3(x+2)-5x equation: 


Simplifying
3(5 + -4x) + 1 = 3(x + 2) + -5x
(5 * 3 + -4x * 3) + 1 = 3(x + 2) + -5x
(15 + -12x) + 1 = 3(x + 2) + -5x

Reorder the terms:
15 + 1 + -12x = 3(x + 2) + -5x

Combine like terms: 15 + 1 = 16
16 + -12x = 3(x + 2) + -5x

Reorder the terms:
16 + -12x = 3(2 + x) + -5x
16 + -12x = (2 * 3 + x * 3) + -5x
16 + -12x = (6 + 3x) + -5x

Combine like terms: 3x + -5x = -2x
16 + -12x = 6 + -2x

Solving
16 + -12x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
16 + -12x + 2x = 6 + -2x + 2x

Combine like terms: -12x + 2x = -10x
16 + -10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -10x = 6 + 0
16 + -10x = 6

Add '-16' to each side of the equation.
16 + -16 + -10x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = 6 + -16
-10x = 6 + -16

Combine like terms: 6 + -16 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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