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

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


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

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

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

Combine like terms: -10 + 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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