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

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Solution for 4-5(x-1)=3(2x+1) equation:


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

Reorder the terms:
4 + -5(-1 + x) = 3(2x + 1)
4 + (-1 * -5 + x * -5) = 3(2x + 1)
4 + (5 + -5x) = 3(2x + 1)

Combine like terms: 4 + 5 = 9
9 + -5x = 3(2x + 1)

Reorder the terms:
9 + -5x = 3(1 + 2x)
9 + -5x = (1 * 3 + 2x * 3)
9 + -5x = (3 + 6x)

Solving
9 + -5x = 3 + 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.
9 + -5x + -6x = 3 + 6x + -6x

Combine like terms: -5x + -6x = -11x
9 + -11x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -11x = 3 + 0
9 + -11x = 3

Add '-9' to each side of the equation.
9 + -9 + -11x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = 3 + -9
-11x = 3 + -9

Combine like terms: 3 + -9 = -6
-11x = -6

Divide each side by '-11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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