3(2x-6)=5(1+7x)

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Solution for 3(2x-6)=5(1+7x) equation:


Simplifying
3(2x + -6) = 5(1 + 7x)

Reorder the terms:
3(-6 + 2x) = 5(1 + 7x)
(-6 * 3 + 2x * 3) = 5(1 + 7x)
(-18 + 6x) = 5(1 + 7x)
-18 + 6x = (1 * 5 + 7x * 5)
-18 + 6x = (5 + 35x)

Solving
-18 + 6x = 5 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-18 + 6x + -35x = 5 + 35x + -35x

Combine like terms: 6x + -35x = -29x
-18 + -29x = 5 + 35x + -35x

Combine like terms: 35x + -35x = 0
-18 + -29x = 5 + 0
-18 + -29x = 5

Add '18' to each side of the equation.
-18 + 18 + -29x = 5 + 18

Combine like terms: -18 + 18 = 0
0 + -29x = 5 + 18
-29x = 5 + 18

Combine like terms: 5 + 18 = 23
-29x = 23

Divide each side by '-29'.
x = -0.7931034483

Simplifying
x = -0.7931034483

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