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

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


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

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

Combine like terms: 2x + -7x = -5x
7 + 35x = -5x

Solving
7 + 35x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + 35x + 5x = -5x + 5x

Combine like terms: 35x + 5x = 40x
7 + 40x = -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 40x = 0

Add '-7' to each side of the equation.
7 + -7 + 40x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 40x = 0 + -7
40x = 0 + -7

Combine like terms: 0 + -7 = -7
40x = -7

Divide each side by '40'.
x = -0.175

Simplifying
x = -0.175

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