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

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


Simplifying
9x + -4(2 + -1x) = 7x + 16
9x + (2 * -4 + -1x * -4) = 7x + 16
9x + (-8 + 4x) = 7x + 16

Reorder the terms:
-8 + 9x + 4x = 7x + 16

Combine like terms: 9x + 4x = 13x
-8 + 13x = 7x + 16

Reorder the terms:
-8 + 13x = 16 + 7x

Solving
-8 + 13x = 16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 13x + -7x = 16 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-8 + 6x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 6x = 16 + 0
-8 + 6x = 16

Add '8' to each side of the equation.
-8 + 8 + 6x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 16 + 8
6x = 16 + 8

Combine like terms: 16 + 8 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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