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

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


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

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

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

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

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

Combine like terms: -3 + 1 = -2
12 + 2x = -2 + 4x

Solving
12 + 2x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 2x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
12 + -2x = -2 + 0
12 + -2x = -2

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

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

Combine like terms: -2 + -12 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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