3(x+5)=7x+6

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Solution for 3(x+5)=7x+6 equation:


Simplifying
3(x + 5) = 7x + 6

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

Reorder the terms:
15 + 3x = 6 + 7x

Solving
15 + 3x = 6 + 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 + 3x + -7x = 6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
15 + -4x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -4x = 6 + 0
15 + -4x = 6

Add '-15' to each side of the equation.
15 + -15 + -4x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 6 + -15
-4x = 6 + -15

Combine like terms: 6 + -15 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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