5(4x-2)+8=2(8x+7)

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Solution for 5(4x-2)+8=2(8x+7) equation:


Simplifying
5(4x + -2) + 8 = 2(8x + 7)

Reorder the terms:
5(-2 + 4x) + 8 = 2(8x + 7)
(-2 * 5 + 4x * 5) + 8 = 2(8x + 7)
(-10 + 20x) + 8 = 2(8x + 7)

Reorder the terms:
-10 + 8 + 20x = 2(8x + 7)

Combine like terms: -10 + 8 = -2
-2 + 20x = 2(8x + 7)

Reorder the terms:
-2 + 20x = 2(7 + 8x)
-2 + 20x = (7 * 2 + 8x * 2)
-2 + 20x = (14 + 16x)

Solving
-2 + 20x = 14 + 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.
-2 + 20x + -16x = 14 + 16x + -16x

Combine like terms: 20x + -16x = 4x
-2 + 4x = 14 + 16x + -16x

Combine like terms: 16x + -16x = 0
-2 + 4x = 14 + 0
-2 + 4x = 14

Add '2' to each side of the equation.
-2 + 2 + 4x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 14 + 2
4x = 14 + 2

Combine like terms: 14 + 2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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