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

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


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

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

Reorder the terms:
5 + 15x = 7 + 4x

Solving
5 + 15x = 7 + 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 + 15x + -4x = 7 + 4x + -4x

Combine like terms: 15x + -4x = 11x
5 + 11x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 11x = 7 + 0
5 + 11x = 7

Add '-5' to each side of the equation.
5 + -5 + 11x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 7 + -5
11x = 7 + -5

Combine like terms: 7 + -5 = 2
11x = 2

Divide each side by '11'.
x = 0.1818181818

Simplifying
x = 0.1818181818

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