5(2x-1)=26+3(x-3)

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Solution for 5(2x-1)=26+3(x-3) equation:


Simplifying
5(2x + -1) = 26 + 3(x + -3)

Reorder the terms:
5(-1 + 2x) = 26 + 3(x + -3)
(-1 * 5 + 2x * 5) = 26 + 3(x + -3)
(-5 + 10x) = 26 + 3(x + -3)

Reorder the terms:
-5 + 10x = 26 + 3(-3 + x)
-5 + 10x = 26 + (-3 * 3 + x * 3)
-5 + 10x = 26 + (-9 + 3x)

Combine like terms: 26 + -9 = 17
-5 + 10x = 17 + 3x

Solving
-5 + 10x = 17 + 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.
-5 + 10x + -3x = 17 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-5 + 7x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 7x = 17 + 0
-5 + 7x = 17

Add '5' to each side of the equation.
-5 + 5 + 7x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 17 + 5
7x = 17 + 5

Combine like terms: 17 + 5 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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