12-5(x-3)=4x-5

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Solution for 12-5(x-3)=4x-5 equation:


Simplifying
12 + -5(x + -3) = 4x + -5

Reorder the terms:
12 + -5(-3 + x) = 4x + -5
12 + (-3 * -5 + x * -5) = 4x + -5
12 + (15 + -5x) = 4x + -5

Combine like terms: 12 + 15 = 27
27 + -5x = 4x + -5

Reorder the terms:
27 + -5x = -5 + 4x

Solving
27 + -5x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
27 + -5x + -4x = -5 + 4x + -4x

Combine like terms: -5x + -4x = -9x
27 + -9x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + -9x = -5 + 0
27 + -9x = -5

Add '-27' to each side of the equation.
27 + -27 + -9x = -5 + -27

Combine like terms: 27 + -27 = 0
0 + -9x = -5 + -27
-9x = -5 + -27

Combine like terms: -5 + -27 = -32
-9x = -32

Divide each side by '-9'.
x = 3.555555556

Simplifying
x = 3.555555556

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