5(4x-2)+2+9=2(8x+7)

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Solution for 5(4x-2)+2+9=2(8x+7) equation:


Simplifying
5(4x + -2) + 2 + 9 = 2(8x + 7)

Reorder the terms:
5(-2 + 4x) + 2 + 9 = 2(8x + 7)
(-2 * 5 + 4x * 5) + 2 + 9 = 2(8x + 7)
(-10 + 20x) + 2 + 9 = 2(8x + 7)

Reorder the terms:
-10 + 2 + 9 + 20x = 2(8x + 7)

Combine like terms: -10 + 2 = -8
-8 + 9 + 20x = 2(8x + 7)

Combine like terms: -8 + 9 = 1
1 + 20x = 2(8x + 7)

Reorder the terms:
1 + 20x = 2(7 + 8x)
1 + 20x = (7 * 2 + 8x * 2)
1 + 20x = (14 + 16x)

Solving
1 + 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.
1 + 20x + -16x = 14 + 16x + -16x

Combine like terms: 20x + -16x = 4x
1 + 4x = 14 + 16x + -16x

Combine like terms: 16x + -16x = 0
1 + 4x = 14 + 0
1 + 4x = 14

Add '-1' to each side of the equation.
1 + -1 + 4x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 14 + -1
4x = 14 + -1

Combine like terms: 14 + -1 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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