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

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Solution for 4(x+3)-1=2(3x-5)+12 equation: 


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

Reorder the terms:
4(3 + x) + -1 = 2(3x + -5) + 12
(3 * 4 + x * 4) + -1 = 2(3x + -5) + 12
(12 + 4x) + -1 = 2(3x + -5) + 12

Reorder the terms:
12 + -1 + 4x = 2(3x + -5) + 12

Combine like terms: 12 + -1 = 11
11 + 4x = 2(3x + -5) + 12

Reorder the terms:
11 + 4x = 2(-5 + 3x) + 12
11 + 4x = (-5 * 2 + 3x * 2) + 12
11 + 4x = (-10 + 6x) + 12

Reorder the terms:
11 + 4x = -10 + 12 + 6x

Combine like terms: -10 + 12 = 2
11 + 4x = 2 + 6x

Solving
11 + 4x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 4x + -6x = 2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
11 + -2x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -2x = 2 + 0
11 + -2x = 2

Add '-11' to each side of the equation.
11 + -11 + -2x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 2 + -11
-2x = 2 + -11

Combine like terms: 2 + -11 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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