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

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


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

Reorder the terms:
4(3 + x) + -4 = 3(2x + -1)
(3 * 4 + x * 4) + -4 = 3(2x + -1)
(12 + 4x) + -4 = 3(2x + -1)

Reorder the terms:
12 + -4 + 4x = 3(2x + -1)

Combine like terms: 12 + -4 = 8
8 + 4x = 3(2x + -1)

Reorder the terms:
8 + 4x = 3(-1 + 2x)
8 + 4x = (-1 * 3 + 2x * 3)
8 + 4x = (-3 + 6x)

Solving
8 + 4x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = -3 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -3 + 0
8 + -2x = -3

Add '-8' to each side of the equation.
8 + -8 + -2x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -3 + -8
-2x = -3 + -8

Combine like terms: -3 + -8 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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