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

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


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

Reorder the terms:
5(2 + 6x) = 4(4x + -2)
(2 * 5 + 6x * 5) = 4(4x + -2)
(10 + 30x) = 4(4x + -2)

Reorder the terms:
10 + 30x = 4(-2 + 4x)
10 + 30x = (-2 * 4 + 4x * 4)
10 + 30x = (-8 + 16x)

Solving
10 + 30x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + 30x + -16x = -8 + 16x + -16x

Combine like terms: 30x + -16x = 14x
10 + 14x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + 14x = -8 + 0
10 + 14x = -8

Add '-10' to each side of the equation.
10 + -10 + 14x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = -8 + -10
14x = -8 + -10

Combine like terms: -8 + -10 = -18
14x = -18

Divide each side by '14'.
x = -1.285714286

Simplifying
x = -1.285714286

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