5(4x-x)=13-3(5-2x)

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Solution for 5(4x-x)=13-3(5-2x) equation:


Simplifying
5(4x + -1x) = 13 + -3(5 + -2x)

Combine like terms: 4x + -1x = 3x
5(3x) = 13 + -3(5 + -2x)

Remove parenthesis around (3x)
5 * 3x = 13 + -3(5 + -2x)

Multiply 5 * 3
15x = 13 + -3(5 + -2x)
15x = 13 + (5 * -3 + -2x * -3)
15x = 13 + (-15 + 6x)

Combine like terms: 13 + -15 = -2
15x = -2 + 6x

Solving
15x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15x + -6x = -2 + 6x + -6x

Combine like terms: 15x + -6x = 9x
9x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
9x = -2 + 0
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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