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

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


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

Reorder the terms:
5(-3 + x) + -4(2 + x) + 2(3x + -8) = 8
(-3 * 5 + x * 5) + -4(2 + x) + 2(3x + -8) = 8
(-15 + 5x) + -4(2 + x) + 2(3x + -8) = 8
-15 + 5x + (2 * -4 + x * -4) + 2(3x + -8) = 8
-15 + 5x + (-8 + -4x) + 2(3x + -8) = 8

Reorder the terms:
-15 + 5x + -8 + -4x + 2(-8 + 3x) = 8
-15 + 5x + -8 + -4x + (-8 * 2 + 3x * 2) = 8
-15 + 5x + -8 + -4x + (-16 + 6x) = 8

Reorder the terms:
-15 + -8 + -16 + 5x + -4x + 6x = 8

Combine like terms: -15 + -8 = -23
-23 + -16 + 5x + -4x + 6x = 8

Combine like terms: -23 + -16 = -39
-39 + 5x + -4x + 6x = 8

Combine like terms: 5x + -4x = 1x
-39 + 1x + 6x = 8

Combine like terms: 1x + 6x = 7x
-39 + 7x = 8

Solving
-39 + 7x = 8

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 7x = 8 + 39

Combine like terms: -39 + 39 = 0
0 + 7x = 8 + 39
7x = 8 + 39

Combine like terms: 8 + 39 = 47
7x = 47

Divide each side by '7'.
x = 6.714285714

Simplifying
x = 6.714285714

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