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

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


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

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

Reorder the terms:
12 + 4x = 3(-3 + 2x) + 1
12 + 4x = (-3 * 3 + 2x * 3) + 1
12 + 4x = (-9 + 6x) + 1

Reorder the terms:
12 + 4x = -9 + 1 + 6x

Combine like terms: -9 + 1 = -8
12 + 4x = -8 + 6x

Solving
12 + 4x = -8 + 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.
12 + 4x + -6x = -8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -8 + 0
12 + -2x = -8

Add '-12' to each side of the equation.
12 + -12 + -2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -8 + -12
-2x = -8 + -12

Combine like terms: -8 + -12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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