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

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


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

Reorder the terms:
5(1 + 3x) = 4x + -7x
(1 * 5 + 3x * 5) = 4x + -7x
(5 + 15x) = 4x + -7x

Combine like terms: 4x + -7x = -3x
5 + 15x = -3x

Solving
5 + 15x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 15x + 3x = -3x + 3x

Combine like terms: 15x + 3x = 18x
5 + 18x = -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 18x = 0

Add '-5' to each side of the equation.
5 + -5 + 18x = 0 + -5

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

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

Divide each side by '18'.
x = -0.2777777778

Simplifying
x = -0.2777777778

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