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

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


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

Reorder the terms:
8(5 + 2x) = 3(x + 4) + 2
(5 * 8 + 2x * 8) = 3(x + 4) + 2
(40 + 16x) = 3(x + 4) + 2

Reorder the terms:
40 + 16x = 3(4 + x) + 2
40 + 16x = (4 * 3 + x * 3) + 2
40 + 16x = (12 + 3x) + 2

Reorder the terms:
40 + 16x = 12 + 2 + 3x

Combine like terms: 12 + 2 = 14
40 + 16x = 14 + 3x

Solving
40 + 16x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + 16x + -3x = 14 + 3x + -3x

Combine like terms: 16x + -3x = 13x
40 + 13x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 13x = 14 + 0
40 + 13x = 14

Add '-40' to each side of the equation.
40 + -40 + 13x = 14 + -40

Combine like terms: 40 + -40 = 0
0 + 13x = 14 + -40
13x = 14 + -40

Combine like terms: 14 + -40 = -26
13x = -26

Divide each side by '13'.
x = -2

Simplifying
x = -2

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