9-(2x+5)=3(2x+4)

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Solution for 9-(2x+5)=3(2x+4) equation:


Simplifying
9 + -1(2x + 5) = 3(2x + 4)

Reorder the terms:
9 + -1(5 + 2x) = 3(2x + 4)
9 + (5 * -1 + 2x * -1) = 3(2x + 4)
9 + (-5 + -2x) = 3(2x + 4)

Combine like terms: 9 + -5 = 4
4 + -2x = 3(2x + 4)

Reorder the terms:
4 + -2x = 3(4 + 2x)
4 + -2x = (4 * 3 + 2x * 3)
4 + -2x = (12 + 6x)

Solving
4 + -2x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -2x + -6x = 12 + 6x + -6x

Combine like terms: -2x + -6x = -8x
4 + -8x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -8x = 12 + 0
4 + -8x = 12

Add '-4' to each side of the equation.
4 + -4 + -8x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 12 + -4
-8x = 12 + -4

Combine like terms: 12 + -4 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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