4(3x-1)-6=5(2x+4)

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Solution for 4(3x-1)-6=5(2x+4) equation:


Simplifying
4(3x + -1) + -6 = 5(2x + 4)

Reorder the terms:
4(-1 + 3x) + -6 = 5(2x + 4)
(-1 * 4 + 3x * 4) + -6 = 5(2x + 4)
(-4 + 12x) + -6 = 5(2x + 4)

Reorder the terms:
-4 + -6 + 12x = 5(2x + 4)

Combine like terms: -4 + -6 = -10
-10 + 12x = 5(2x + 4)

Reorder the terms:
-10 + 12x = 5(4 + 2x)
-10 + 12x = (4 * 5 + 2x * 5)
-10 + 12x = (20 + 10x)

Solving
-10 + 12x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 12x + -10x = 20 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-10 + 2x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + 2x = 20 + 0
-10 + 2x = 20

Add '10' to each side of the equation.
-10 + 10 + 2x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 20 + 10
2x = 20 + 10

Combine like terms: 20 + 10 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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