4(x-1)=-5(x+2)+48

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Solution for 4(x-1)=-5(x+2)+48 equation:


Simplifying
4(x + -1) = -5(x + 2) + 48

Reorder the terms:
4(-1 + x) = -5(x + 2) + 48
(-1 * 4 + x * 4) = -5(x + 2) + 48
(-4 + 4x) = -5(x + 2) + 48

Reorder the terms:
-4 + 4x = -5(2 + x) + 48
-4 + 4x = (2 * -5 + x * -5) + 48
-4 + 4x = (-10 + -5x) + 48

Reorder the terms:
-4 + 4x = -10 + 48 + -5x

Combine like terms: -10 + 48 = 38
-4 + 4x = 38 + -5x

Solving
-4 + 4x = 38 + -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.
-4 + 4x + 5x = 38 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-4 + 9x = 38 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 9x = 38 + 0
-4 + 9x = 38

Add '4' to each side of the equation.
-4 + 4 + 9x = 38 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 38 + 4
9x = 38 + 4

Combine like terms: 38 + 4 = 42
9x = 42

Divide each side by '9'.
x = 4.666666667

Simplifying
x = 4.666666667

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