8(x+2)-5(3-x)=12

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Solution for 8(x+2)-5(3-x)=12 equation:


Simplifying
8(x + 2) + -5(3 + -1x) = 12

Reorder the terms:
8(2 + x) + -5(3 + -1x) = 12
(2 * 8 + x * 8) + -5(3 + -1x) = 12
(16 + 8x) + -5(3 + -1x) = 12
16 + 8x + (3 * -5 + -1x * -5) = 12
16 + 8x + (-15 + 5x) = 12

Reorder the terms:
16 + -15 + 8x + 5x = 12

Combine like terms: 16 + -15 = 1
1 + 8x + 5x = 12

Combine like terms: 8x + 5x = 13x
1 + 13x = 12

Solving
1 + 13x = 12

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 13x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = 12 + -1
13x = 12 + -1

Combine like terms: 12 + -1 = 11
13x = 11

Divide each side by '13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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