5(2x+1)=3x-7x

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Solution for 5(2x+1)=3x-7x equation:


Simplifying
5(2x + 1) = 3x + -7x

Reorder the terms:
5(1 + 2x) = 3x + -7x
(1 * 5 + 2x * 5) = 3x + -7x
(5 + 10x) = 3x + -7x

Combine like terms: 3x + -7x = -4x
5 + 10x = -4x

Solving
5 + 10x = -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.
5 + 10x + 4x = -4x + 4x

Combine like terms: 10x + 4x = 14x
5 + 14x = -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 14x = 0

Add '-5' to each side of the equation.
5 + -5 + 14x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 14x = 0 + -5
14x = 0 + -5

Combine like terms: 0 + -5 = -5
14x = -5

Divide each side by '14'.
x = -0.3571428571

Simplifying
x = -0.3571428571

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