3(5x-5)=26-3(x+2)

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Solution for 3(5x-5)=26-3(x+2) equation:


Simplifying
3(5x + -5) = 26 + -3(x + 2)

Reorder the terms:
3(-5 + 5x) = 26 + -3(x + 2)
(-5 * 3 + 5x * 3) = 26 + -3(x + 2)
(-15 + 15x) = 26 + -3(x + 2)

Reorder the terms:
-15 + 15x = 26 + -3(2 + x)
-15 + 15x = 26 + (2 * -3 + x * -3)
-15 + 15x = 26 + (-6 + -3x)

Combine like terms: 26 + -6 = 20
-15 + 15x = 20 + -3x

Solving
-15 + 15x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-15 + 15x + 3x = 20 + -3x + 3x

Combine like terms: 15x + 3x = 18x
-15 + 18x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 18x = 20 + 0
-15 + 18x = 20

Add '15' to each side of the equation.
-15 + 15 + 18x = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 18x = 20 + 15
18x = 20 + 15

Combine like terms: 20 + 15 = 35
18x = 35

Divide each side by '18'.
x = 1.944444444

Simplifying
x = 1.944444444

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