7(5x-8)=2(10x+17)

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Solution for 7(5x-8)=2(10x+17) equation:


Simplifying
7(5x + -8) = 2(10x + 17)

Reorder the terms:
7(-8 + 5x) = 2(10x + 17)
(-8 * 7 + 5x * 7) = 2(10x + 17)
(-56 + 35x) = 2(10x + 17)

Reorder the terms:
-56 + 35x = 2(17 + 10x)
-56 + 35x = (17 * 2 + 10x * 2)
-56 + 35x = (34 + 20x)

Solving
-56 + 35x = 34 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-56 + 35x + -20x = 34 + 20x + -20x

Combine like terms: 35x + -20x = 15x
-56 + 15x = 34 + 20x + -20x

Combine like terms: 20x + -20x = 0
-56 + 15x = 34 + 0
-56 + 15x = 34

Add '56' to each side of the equation.
-56 + 56 + 15x = 34 + 56

Combine like terms: -56 + 56 = 0
0 + 15x = 34 + 56
15x = 34 + 56

Combine like terms: 34 + 56 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6

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