3x+15=7x-6

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Solution for 3x+15=7x-6 equation:


Simplifying
3x + 15 = 7x + -6

Reorder the terms:
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 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25

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