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

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


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

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

Reorder the terms:
16 + -16 + 5x + -4x = 2(x + 9)

Combine like terms: 16 + -16 = 0
0 + 5x + -4x = 2(x + 9)
5x + -4x = 2(x + 9)

Combine like terms: 5x + -4x = 1x
1x = 2(x + 9)

Reorder the terms:
1x = 2(9 + x)
1x = (9 * 2 + x * 2)
1x = (18 + 2x)

Solving
1x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1x + -2x = 18 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-1x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1x = 18 + 0
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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