4(3x-1)=11x-3(x-4)

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Solution for 4(3x-1)=11x-3(x-4) equation:


Simplifying
4(3x + -1) = 11x + -3(x + -4)

Reorder the terms:
4(-1 + 3x) = 11x + -3(x + -4)
(-1 * 4 + 3x * 4) = 11x + -3(x + -4)
(-4 + 12x) = 11x + -3(x + -4)

Reorder the terms:
-4 + 12x = 11x + -3(-4 + x)
-4 + 12x = 11x + (-4 * -3 + x * -3)
-4 + 12x = 11x + (12 + -3x)

Reorder the terms:
-4 + 12x = 12 + 11x + -3x

Combine like terms: 11x + -3x = 8x
-4 + 12x = 12 + 8x

Solving
-4 + 12x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 12x + -8x = 12 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-4 + 4x = 12 + 0
-4 + 4x = 12

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

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

Combine like terms: 12 + 4 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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