8(2x+5)-5(3x+7)=12

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Solution for 8(2x+5)-5(3x+7)=12 equation: 


Simplifying
8(2x + 5) + -5(3x + 7) = 12

Reorder the terms:
8(5 + 2x) + -5(3x + 7) = 12
(5 * 8 + 2x * 8) + -5(3x + 7) = 12
(40 + 16x) + -5(3x + 7) = 12

Reorder the terms:
40 + 16x + -5(7 + 3x) = 12
40 + 16x + (7 * -5 + 3x * -5) = 12
40 + 16x + (-35 + -15x) = 12

Reorder the terms:
40 + -35 + 16x + -15x = 12

Combine like terms: 40 + -35 = 5
5 + 16x + -15x = 12

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

Solving
5 + 1x = 12

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 12 + -5
1x = 12 + -5

Combine like terms: 12 + -5 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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