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

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


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

Reorder the terms:
4(2 + 4x) = 2(7x + 9)
(2 * 4 + 4x * 4) = 2(7x + 9)
(8 + 16x) = 2(7x + 9)

Reorder the terms:
8 + 16x = 2(9 + 7x)
8 + 16x = (9 * 2 + 7x * 2)
8 + 16x = (18 + 14x)

Solving
8 + 16x = 18 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8 + 16x + -14x = 18 + 14x + -14x

Combine like terms: 16x + -14x = 2x
8 + 2x = 18 + 14x + -14x

Combine like terms: 14x + -14x = 0
8 + 2x = 18 + 0
8 + 2x = 18

Add '-8' to each side of the equation.
8 + -8 + 2x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 18 + -8
2x = 18 + -8

Combine like terms: 18 + -8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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