x-20=5(7x-2)

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Solution for x-20=5(7x-2) equation:


Simplifying
x + -20 = 5(7x + -2)

Reorder the terms:
-20 + x = 5(7x + -2)

Reorder the terms:
-20 + x = 5(-2 + 7x)
-20 + x = (-2 * 5 + 7x * 5)
-20 + x = (-10 + 35x)

Solving
-20 + x = -10 + 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.
-20 + x + -35x = -10 + 35x + -35x

Combine like terms: x + -35x = -34x
-20 + -34x = -10 + 35x + -35x

Combine like terms: 35x + -35x = 0
-20 + -34x = -10 + 0
-20 + -34x = -10

Add '20' to each side of the equation.
-20 + 20 + -34x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -34x = -10 + 20
-34x = -10 + 20

Combine like terms: -10 + 20 = 10
-34x = 10

Divide each side by '-34'.
x = -0.2941176471

Simplifying
x = -0.2941176471

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