4(3x-1)-6=5x+10

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Solution for 4(3x-1)-6=5x+10 equation:


Simplifying
4(3x + -1) + -6 = 5x + 10

Reorder the terms:
4(-1 + 3x) + -6 = 5x + 10
(-1 * 4 + 3x * 4) + -6 = 5x + 10
(-4 + 12x) + -6 = 5x + 10

Reorder the terms:
-4 + -6 + 12x = 5x + 10

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

Reorder the terms:
-10 + 12x = 10 + 5x

Solving
-10 + 12x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 12x + -5x = 10 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-10 + 7x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 7x = 10 + 0
-10 + 7x = 10

Add '10' to each side of the equation.
-10 + 10 + 7x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 10 + 10
7x = 10 + 10

Combine like terms: 10 + 10 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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