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

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


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

Reorder the terms:
4(3 + 4x) + -3(x + -4) = 3(x + -2)
(3 * 4 + 4x * 4) + -3(x + -4) = 3(x + -2)
(12 + 16x) + -3(x + -4) = 3(x + -2)

Reorder the terms:
12 + 16x + -3(-4 + x) = 3(x + -2)
12 + 16x + (-4 * -3 + x * -3) = 3(x + -2)
12 + 16x + (12 + -3x) = 3(x + -2)

Reorder the terms:
12 + 12 + 16x + -3x = 3(x + -2)

Combine like terms: 12 + 12 = 24
24 + 16x + -3x = 3(x + -2)

Combine like terms: 16x + -3x = 13x
24 + 13x = 3(x + -2)

Reorder the terms:
24 + 13x = 3(-2 + x)
24 + 13x = (-2 * 3 + x * 3)
24 + 13x = (-6 + 3x)

Solving
24 + 13x = -6 + 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.
24 + 13x + -3x = -6 + 3x + -3x

Combine like terms: 13x + -3x = 10x
24 + 10x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 10x = -6 + 0
24 + 10x = -6

Add '-24' to each side of the equation.
24 + -24 + 10x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = -6 + -24
10x = -6 + -24

Combine like terms: -6 + -24 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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