4x-6=7x+15

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Solution for 4x-6=7x+15 equation:


Simplifying
4x + -6 = 7x + 15

Reorder the terms:
-6 + 4x = 7x + 15

Reorder the terms:
-6 + 4x = 15 + 7x

Solving
-6 + 4x = 15 + 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.
-6 + 4x + -7x = 15 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-6 + -3x = 15 + 0
-6 + -3x = 15

Add '6' to each side of the equation.
-6 + 6 + -3x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 15 + 6
-3x = 15 + 6

Combine like terms: 15 + 6 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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