7(9x+2)=5(16x-4)

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Solution for 7(9x+2)=5(16x-4) equation:


Simplifying
7(9x + 2) = 5(16x + -4)

Reorder the terms:
7(2 + 9x) = 5(16x + -4)
(2 * 7 + 9x * 7) = 5(16x + -4)
(14 + 63x) = 5(16x + -4)

Reorder the terms:
14 + 63x = 5(-4 + 16x)
14 + 63x = (-4 * 5 + 16x * 5)
14 + 63x = (-20 + 80x)

Solving
14 + 63x = -20 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
14 + 63x + -80x = -20 + 80x + -80x

Combine like terms: 63x + -80x = -17x
14 + -17x = -20 + 80x + -80x

Combine like terms: 80x + -80x = 0
14 + -17x = -20 + 0
14 + -17x = -20

Add '-14' to each side of the equation.
14 + -14 + -17x = -20 + -14

Combine like terms: 14 + -14 = 0
0 + -17x = -20 + -14
-17x = -20 + -14

Combine like terms: -20 + -14 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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