5x-3=4(4x-9)

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Solution for 5x-3=4(4x-9) equation:


Simplifying
5x + -3 = 4(4x + -9)

Reorder the terms:
-3 + 5x = 4(4x + -9)

Reorder the terms:
-3 + 5x = 4(-9 + 4x)
-3 + 5x = (-9 * 4 + 4x * 4)
-3 + 5x = (-36 + 16x)

Solving
-3 + 5x = -36 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-3 + 5x + -16x = -36 + 16x + -16x

Combine like terms: 5x + -16x = -11x
-3 + -11x = -36 + 16x + -16x

Combine like terms: 16x + -16x = 0
-3 + -11x = -36 + 0
-3 + -11x = -36

Add '3' to each side of the equation.
-3 + 3 + -11x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + -11x = -36 + 3
-11x = -36 + 3

Combine like terms: -36 + 3 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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