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

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Solution for 9-2(3x-1)=5(2x+4)-4 equation:


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

Reorder the terms:
9 + -2(-1 + 3x) = 5(2x + 4) + -4
9 + (-1 * -2 + 3x * -2) = 5(2x + 4) + -4
9 + (2 + -6x) = 5(2x + 4) + -4

Combine like terms: 9 + 2 = 11
11 + -6x = 5(2x + 4) + -4

Reorder the terms:
11 + -6x = 5(4 + 2x) + -4
11 + -6x = (4 * 5 + 2x * 5) + -4
11 + -6x = (20 + 10x) + -4

Reorder the terms:
11 + -6x = 20 + -4 + 10x

Combine like terms: 20 + -4 = 16
11 + -6x = 16 + 10x

Solving
11 + -6x = 16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + -6x + -10x = 16 + 10x + -10x

Combine like terms: -6x + -10x = -16x
11 + -16x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
11 + -16x = 16 + 0
11 + -16x = 16

Add '-11' to each side of the equation.
11 + -11 + -16x = 16 + -11

Combine like terms: 11 + -11 = 0
0 + -16x = 16 + -11
-16x = 16 + -11

Combine like terms: 16 + -11 = 5
-16x = 5

Divide each side by '-16'.
x = -0.3125

Simplifying
x = -0.3125

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