8-2(2x+3)=5(x+4)

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Solution for 8-2(2x+3)=5(x+4) equation:


Simplifying
8 + -2(2x + 3) = 5(x + 4)

Reorder the terms:
8 + -2(3 + 2x) = 5(x + 4)
8 + (3 * -2 + 2x * -2) = 5(x + 4)
8 + (-6 + -4x) = 5(x + 4)

Combine like terms: 8 + -6 = 2
2 + -4x = 5(x + 4)

Reorder the terms:
2 + -4x = 5(4 + x)
2 + -4x = (4 * 5 + x * 5)
2 + -4x = (20 + 5x)

Solving
2 + -4x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -4x + -5x = 20 + 5x + -5x

Combine like terms: -4x + -5x = -9x
2 + -9x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -9x = 20 + 0
2 + -9x = 20

Add '-2' to each side of the equation.
2 + -2 + -9x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 20 + -2
-9x = 20 + -2

Combine like terms: 20 + -2 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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