4(2x-1)+15=6-2(x-5)

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Solution for 4(2x-1)+15=6-2(x-5) equation:


Simplifying
4(2x + -1) + 15 = 6 + -2(x + -5)

Reorder the terms:
4(-1 + 2x) + 15 = 6 + -2(x + -5)
(-1 * 4 + 2x * 4) + 15 = 6 + -2(x + -5)
(-4 + 8x) + 15 = 6 + -2(x + -5)

Reorder the terms:
-4 + 15 + 8x = 6 + -2(x + -5)

Combine like terms: -4 + 15 = 11
11 + 8x = 6 + -2(x + -5)

Reorder the terms:
11 + 8x = 6 + -2(-5 + x)
11 + 8x = 6 + (-5 * -2 + x * -2)
11 + 8x = 6 + (10 + -2x)

Combine like terms: 6 + 10 = 16
11 + 8x = 16 + -2x

Solving
11 + 8x = 16 + -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.
11 + 8x + 2x = 16 + -2x + 2x

Combine like terms: 8x + 2x = 10x
11 + 10x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 10x = 16 + 0
11 + 10x = 16

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

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

Combine like terms: 16 + -11 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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