3(4x-3)-19=4(x-1)

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Solution for 3(4x-3)-19=4(x-1) equation:


Simplifying
3(4x + -3) + -19 = 4(x + -1)

Reorder the terms:
3(-3 + 4x) + -19 = 4(x + -1)
(-3 * 3 + 4x * 3) + -19 = 4(x + -1)
(-9 + 12x) + -19 = 4(x + -1)

Reorder the terms:
-9 + -19 + 12x = 4(x + -1)

Combine like terms: -9 + -19 = -28
-28 + 12x = 4(x + -1)

Reorder the terms:
-28 + 12x = 4(-1 + x)
-28 + 12x = (-1 * 4 + x * 4)
-28 + 12x = (-4 + 4x)

Solving
-28 + 12x = -4 + 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.
-28 + 12x + -4x = -4 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-28 + 8x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 8x = -4 + 0
-28 + 8x = -4

Add '28' to each side of the equation.
-28 + 28 + 8x = -4 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = -4 + 28
8x = -4 + 28

Combine like terms: -4 + 28 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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