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

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


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

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

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

Combine like terms: -10 + 9 = -1
-1 + 20x = 2(4x + 7)

Reorder the terms:
-1 + 20x = 2(7 + 4x)
-1 + 20x = (7 * 2 + 4x * 2)
-1 + 20x = (14 + 8x)

Solving
-1 + 20x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 20x + -8x = 14 + 8x + -8x

Combine like terms: 20x + -8x = 12x
-1 + 12x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + 12x = 14 + 0
-1 + 12x = 14

Add '1' to each side of the equation.
-1 + 1 + 12x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 12x = 14 + 1
12x = 14 + 1

Combine like terms: 14 + 1 = 15
12x = 15

Divide each side by '12'.
x = 1.25

Simplifying
x = 1.25

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