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

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


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

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

Reorder the terms:
16 + -4x = 5(3 + x)
16 + -4x = (3 * 5 + x * 5)
16 + -4x = (15 + 5x)

Solving
16 + -4x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -4x + -5x = 15 + 5x + -5x

Combine like terms: -4x + -5x = -9x
16 + -9x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -9x = 15 + 0
16 + -9x = 15

Add '-16' to each side of the equation.
16 + -16 + -9x = 15 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = 15 + -16
-9x = 15 + -16

Combine like terms: 15 + -16 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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