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

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


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

Reorder the terms:
3(5 + 2x) = 7x + -1
(5 * 3 + 2x * 3) = 7x + -1
(15 + 6x) = 7x + -1

Reorder the terms:
15 + 6x = -1 + 7x

Solving
15 + 6x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 6x + -7x = -1 + 7x + -7x

Combine like terms: 6x + -7x = -1x
15 + -1x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -1x = -1 + 0
15 + -1x = -1

Add '-15' to each side of the equation.
15 + -15 + -1x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -1 + -15
-1x = -1 + -15

Combine like terms: -1 + -15 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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