4(5x+1)=3x-7x

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Solution for 4(5x+1)=3x-7x equation:


Simplifying
4(5x + 1) = 3x + -7x

Reorder the terms:
4(1 + 5x) = 3x + -7x
(1 * 4 + 5x * 4) = 3x + -7x
(4 + 20x) = 3x + -7x

Combine like terms: 3x + -7x = -4x
4 + 20x = -4x

Solving
4 + 20x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + 20x + 4x = -4x + 4x

Combine like terms: 20x + 4x = 24x
4 + 24x = -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 24x = 0

Add '-4' to each side of the equation.
4 + -4 + 24x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 24x = 0 + -4
24x = 0 + -4

Combine like terms: 0 + -4 = -4
24x = -4

Divide each side by '24'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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