6(4x-2)=5(7x+2)

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Solution for 6(4x-2)=5(7x+2) equation:


Simplifying
6(4x + -2) = 5(7x + 2)

Reorder the terms:
6(-2 + 4x) = 5(7x + 2)
(-2 * 6 + 4x * 6) = 5(7x + 2)
(-12 + 24x) = 5(7x + 2)

Reorder the terms:
-12 + 24x = 5(2 + 7x)
-12 + 24x = (2 * 5 + 7x * 5)
-12 + 24x = (10 + 35x)

Solving
-12 + 24x = 10 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-12 + 24x + -35x = 10 + 35x + -35x

Combine like terms: 24x + -35x = -11x
-12 + -11x = 10 + 35x + -35x

Combine like terms: 35x + -35x = 0
-12 + -11x = 10 + 0
-12 + -11x = 10

Add '12' to each side of the equation.
-12 + 12 + -11x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = 10 + 12
-11x = 10 + 12

Combine like terms: 10 + 12 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2

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