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

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


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

Reorder the terms:
5 + 4(-5 + x) = 6 + -8(x + -4)
5 + (-5 * 4 + x * 4) = 6 + -8(x + -4)
5 + (-20 + 4x) = 6 + -8(x + -4)

Combine like terms: 5 + -20 = -15
-15 + 4x = 6 + -8(x + -4)

Reorder the terms:
-15 + 4x = 6 + -8(-4 + x)
-15 + 4x = 6 + (-4 * -8 + x * -8)
-15 + 4x = 6 + (32 + -8x)

Combine like terms: 6 + 32 = 38
-15 + 4x = 38 + -8x

Solving
-15 + 4x = 38 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-15 + 4x + 8x = 38 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-15 + 12x = 38 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 12x = 38 + 0
-15 + 12x = 38

Add '15' to each side of the equation.
-15 + 15 + 12x = 38 + 15

Combine like terms: -15 + 15 = 0
0 + 12x = 38 + 15
12x = 38 + 15

Combine like terms: 38 + 15 = 53
12x = 53

Divide each side by '12'.
x = 4.416666667

Simplifying
x = 4.416666667

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