6(x-5)=4x+15

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Solution for 6(x-5)=4x+15 equation:


Simplifying
6(x + -5) = 4x + 15

Reorder the terms:
6(-5 + x) = 4x + 15
(-5 * 6 + x * 6) = 4x + 15
(-30 + 6x) = 4x + 15

Reorder the terms:
-30 + 6x = 15 + 4x

Solving
-30 + 6x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-30 + 6x + -4x = 15 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-30 + 2x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 2x = 15 + 0
-30 + 2x = 15

Add '30' to each side of the equation.
-30 + 30 + 2x = 15 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 15 + 30
2x = 15 + 30

Combine like terms: 15 + 30 = 45
2x = 45

Divide each side by '2'.
x = 22.5

Simplifying
x = 22.5

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