6(5-x)=8-4(x+3)

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Solution for 6(5-x)=8-4(x+3) equation:


Simplifying
6(5 + -1x) = 8 + -4(x + 3)
(5 * 6 + -1x * 6) = 8 + -4(x + 3)
(30 + -6x) = 8 + -4(x + 3)

Reorder the terms:
30 + -6x = 8 + -4(3 + x)
30 + -6x = 8 + (3 * -4 + x * -4)
30 + -6x = 8 + (-12 + -4x)

Combine like terms: 8 + -12 = -4
30 + -6x = -4 + -4x

Solving
30 + -6x = -4 + -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.
30 + -6x + 4x = -4 + -4x + 4x

Combine like terms: -6x + 4x = -2x
30 + -2x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
30 + -2x = -4 + 0
30 + -2x = -4

Add '-30' to each side of the equation.
30 + -30 + -2x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = -4 + -30
-2x = -4 + -30

Combine like terms: -4 + -30 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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