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

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


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

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

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

Reorder the terms:
4 + 12 + 4x + -6x = 3(x + -3)

Combine like terms: 4 + 12 = 16
16 + 4x + -6x = 3(x + -3)

Combine like terms: 4x + -6x = -2x
16 + -2x = 3(x + -3)

Reorder the terms:
16 + -2x = 3(-3 + x)
16 + -2x = (-3 * 3 + x * 3)
16 + -2x = (-9 + 3x)

Solving
16 + -2x = -9 + 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.
16 + -2x + -3x = -9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = -9 + 0
16 + -5x = -9

Add '-16' to each side of the equation.
16 + -16 + -5x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -9 + -16
-5x = -9 + -16

Combine like terms: -9 + -16 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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