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

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


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

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

Remove parenthesis around (3x)
-5 + 10x + -2 * 3x = 1

Multiply -2 * 3
-5 + 10x + -6x = 1

Combine like terms: 10x + -6x = 4x
-5 + 4x = 1

Solving
-5 + 4x = 1

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 1 + 5
4x = 1 + 5

Combine like terms: 1 + 5 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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