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

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


Simplifying
3(4 + -2x) + 1 = 3(x + 3) + -5x
(4 * 3 + -2x * 3) + 1 = 3(x + 3) + -5x
(12 + -6x) + 1 = 3(x + 3) + -5x

Reorder the terms:
12 + 1 + -6x = 3(x + 3) + -5x

Combine like terms: 12 + 1 = 13
13 + -6x = 3(x + 3) + -5x

Reorder the terms:
13 + -6x = 3(3 + x) + -5x
13 + -6x = (3 * 3 + x * 3) + -5x
13 + -6x = (9 + 3x) + -5x

Combine like terms: 3x + -5x = -2x
13 + -6x = 9 + -2x

Solving
13 + -6x = 9 + -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.
13 + -6x + 2x = 9 + -2x + 2x

Combine like terms: -6x + 2x = -4x
13 + -4x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + -4x = 9 + 0
13 + -4x = 9

Add '-13' to each side of the equation.
13 + -13 + -4x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 9 + -13
-4x = 9 + -13

Combine like terms: 9 + -13 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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