5(2x-4)-3(x+8)=5-(x-2)

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Solution for 5(2x-4)-3(x+8)=5-(x-2) equation:


Simplifying
5(2x + -4) + -3(x + 8) = 5 + -1(x + -2)

Reorder the terms:
5(-4 + 2x) + -3(x + 8) = 5 + -1(x + -2)
(-4 * 5 + 2x * 5) + -3(x + 8) = 5 + -1(x + -2)
(-20 + 10x) + -3(x + 8) = 5 + -1(x + -2)

Reorder the terms:
-20 + 10x + -3(8 + x) = 5 + -1(x + -2)
-20 + 10x + (8 * -3 + x * -3) = 5 + -1(x + -2)
-20 + 10x + (-24 + -3x) = 5 + -1(x + -2)

Reorder the terms:
-20 + -24 + 10x + -3x = 5 + -1(x + -2)

Combine like terms: -20 + -24 = -44
-44 + 10x + -3x = 5 + -1(x + -2)

Combine like terms: 10x + -3x = 7x
-44 + 7x = 5 + -1(x + -2)

Reorder the terms:
-44 + 7x = 5 + -1(-2 + x)
-44 + 7x = 5 + (-2 * -1 + x * -1)
-44 + 7x = 5 + (2 + -1x)

Combine like terms: 5 + 2 = 7
-44 + 7x = 7 + -1x

Solving
-44 + 7x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-44 + 7x + x = 7 + -1x + x

Combine like terms: 7x + x = 8x
-44 + 8x = 7 + -1x + x

Combine like terms: -1x + x = 0
-44 + 8x = 7 + 0
-44 + 8x = 7

Add '44' to each side of the equation.
-44 + 44 + 8x = 7 + 44

Combine like terms: -44 + 44 = 0
0 + 8x = 7 + 44
8x = 7 + 44

Combine like terms: 7 + 44 = 51
8x = 51

Divide each side by '8'.
x = 6.375

Simplifying
x = 6.375

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