4x-5=7x+15

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Solution for 4x-5=7x+15 equation:


Simplifying
4x + -5 = 7x + 15

Reorder the terms:
-5 + 4x = 7x + 15

Reorder the terms:
-5 + 4x = 15 + 7x

Solving
-5 + 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.
-5 + 4x + -7x = 15 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-5 + -3x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -3x = 15 + 0
-5 + -3x = 15

Add '5' to each side of the equation.
-5 + 5 + -3x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 15 + 5
-3x = 15 + 5

Combine like terms: 15 + 5 = 20
-3x = 20

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

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