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

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


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

Reorder the terms:
4x + -5(-3 + x) = -4 + 3(x + 1)
4x + (-3 * -5 + x * -5) = -4 + 3(x + 1)
4x + (15 + -5x) = -4 + 3(x + 1)

Reorder the terms:
15 + 4x + -5x = -4 + 3(x + 1)

Combine like terms: 4x + -5x = -1x
15 + -1x = -4 + 3(x + 1)

Reorder the terms:
15 + -1x = -4 + 3(1 + x)
15 + -1x = -4 + (1 * 3 + x * 3)
15 + -1x = -4 + (3 + 3x)

Combine like terms: -4 + 3 = -1
15 + -1x = -1 + 3x

Solving
15 + -1x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -1x + -3x = -1 + 3x + -3x

Combine like terms: -1x + -3x = -4x
15 + -4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -4x = -1 + 0
15 + -4x = -1

Add '-15' to each side of the equation.
15 + -15 + -4x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -1 + -15
-4x = -1 + -15

Combine like terms: -1 + -15 = -16
-4x = -16

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

Simplifying
x = 4

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