8(3x+2)-5(2x-1)=5(10-x)+2

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Solution for 8(3x+2)-5(2x-1)=5(10-x)+2 equation:


Simplifying
8(3x + 2) + -5(2x + -1) = 5(10 + -1x) + 2

Reorder the terms:
8(2 + 3x) + -5(2x + -1) = 5(10 + -1x) + 2
(2 * 8 + 3x * 8) + -5(2x + -1) = 5(10 + -1x) + 2
(16 + 24x) + -5(2x + -1) = 5(10 + -1x) + 2

Reorder the terms:
16 + 24x + -5(-1 + 2x) = 5(10 + -1x) + 2
16 + 24x + (-1 * -5 + 2x * -5) = 5(10 + -1x) + 2
16 + 24x + (5 + -10x) = 5(10 + -1x) + 2

Reorder the terms:
16 + 5 + 24x + -10x = 5(10 + -1x) + 2

Combine like terms: 16 + 5 = 21
21 + 24x + -10x = 5(10 + -1x) + 2

Combine like terms: 24x + -10x = 14x
21 + 14x = 5(10 + -1x) + 2
21 + 14x = (10 * 5 + -1x * 5) + 2
21 + 14x = (50 + -5x) + 2

Reorder the terms:
21 + 14x = 50 + 2 + -5x

Combine like terms: 50 + 2 = 52
21 + 14x = 52 + -5x

Solving
21 + 14x = 52 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
21 + 14x + 5x = 52 + -5x + 5x

Combine like terms: 14x + 5x = 19x
21 + 19x = 52 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + 19x = 52 + 0
21 + 19x = 52

Add '-21' to each side of the equation.
21 + -21 + 19x = 52 + -21

Combine like terms: 21 + -21 = 0
0 + 19x = 52 + -21
19x = 52 + -21

Combine like terms: 52 + -21 = 31
19x = 31

Divide each side by '19'.
x = 1.631578947

Simplifying
x = 1.631578947

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