20(7x+10)=36(x-3)

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Solution for 20(7x+10)=36(x-3) equation:


Simplifying
20(7x + 10) = 36(x + -3)

Reorder the terms:
20(10 + 7x) = 36(x + -3)
(10 * 20 + 7x * 20) = 36(x + -3)
(200 + 140x) = 36(x + -3)

Reorder the terms:
200 + 140x = 36(-3 + x)
200 + 140x = (-3 * 36 + x * 36)
200 + 140x = (-108 + 36x)

Solving
200 + 140x = -108 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
200 + 140x + -36x = -108 + 36x + -36x

Combine like terms: 140x + -36x = 104x
200 + 104x = -108 + 36x + -36x

Combine like terms: 36x + -36x = 0
200 + 104x = -108 + 0
200 + 104x = -108

Add '-200' to each side of the equation.
200 + -200 + 104x = -108 + -200

Combine like terms: 200 + -200 = 0
0 + 104x = -108 + -200
104x = -108 + -200

Combine like terms: -108 + -200 = -308
104x = -308

Divide each side by '104'.
x = -2.961538462

Simplifying
x = -2.961538462

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