11-5(2x-1)=2(3x+4)

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Solution for 11-5(2x-1)=2(3x+4) equation:


Simplifying
11 + -5(2x + -1) = 2(3x + 4)

Reorder the terms:
11 + -5(-1 + 2x) = 2(3x + 4)
11 + (-1 * -5 + 2x * -5) = 2(3x + 4)
11 + (5 + -10x) = 2(3x + 4)

Combine like terms: 11 + 5 = 16
16 + -10x = 2(3x + 4)

Reorder the terms:
16 + -10x = 2(4 + 3x)
16 + -10x = (4 * 2 + 3x * 2)
16 + -10x = (8 + 6x)

Solving
16 + -10x = 8 + 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.
16 + -10x + -6x = 8 + 6x + -6x

Combine like terms: -10x + -6x = -16x
16 + -16x = 8 + 6x + -6x

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

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

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

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

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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