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

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


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

Reorder the terms:
3(5 + x) = 7(2x + 1)
(5 * 3 + x * 3) = 7(2x + 1)
(15 + 3x) = 7(2x + 1)

Reorder the terms:
15 + 3x = 7(1 + 2x)
15 + 3x = (1 * 7 + 2x * 7)
15 + 3x = (7 + 14x)

Solving
15 + 3x = 7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
15 + 3x + -14x = 7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
15 + -11x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
15 + -11x = 7 + 0
15 + -11x = 7

Add '-15' to each side of the equation.
15 + -15 + -11x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = 7 + -15
-11x = 7 + -15

Combine like terms: 7 + -15 = -8
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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