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

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


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

Reorder the terms:
3(5 + 2x) + 2(x + -8) = 7
(5 * 3 + 2x * 3) + 2(x + -8) = 7
(15 + 6x) + 2(x + -8) = 7

Reorder the terms:
15 + 6x + 2(-8 + x) = 7
15 + 6x + (-8 * 2 + x * 2) = 7
15 + 6x + (-16 + 2x) = 7

Reorder the terms:
15 + -16 + 6x + 2x = 7

Combine like terms: 15 + -16 = -1
-1 + 6x + 2x = 7

Combine like terms: 6x + 2x = 8x
-1 + 8x = 7

Solving
-1 + 8x = 7

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 + 8x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 7 + 1
8x = 7 + 1

Combine like terms: 7 + 1 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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