2(x+8)-3=4(x-6)

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Solution for 2(x+8)-3=4(x-6) equation: 


Simplifying
2(x + 8) + -3 = 4(x + -6)

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

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

Combine like terms: 16 + -3 = 13
13 + 2x = 4(x + -6)

Reorder the terms:
13 + 2x = 4(-6 + x)
13 + 2x = (-6 * 4 + x * 4)
13 + 2x = (-24 + 4x)

Solving
13 + 2x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 2x + -4x = -24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
13 + -2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -2x = -24 + 0
13 + -2x = -24

Add '-13' to each side of the equation.
13 + -13 + -2x = -24 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -24 + -13
-2x = -24 + -13

Combine like terms: -24 + -13 = -37
-2x = -37

Divide each side by '-2'.
x = 18.5

Simplifying
x = 18.5

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