3(x-21)=5(x+8)

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Solution for 3(x-21)=5(x+8) equation:


Simplifying
3(x + -21) = 5(x + 8)

Reorder the terms:
3(-21 + x) = 5(x + 8)
(-21 * 3 + x * 3) = 5(x + 8)
(-63 + 3x) = 5(x + 8)

Reorder the terms:
-63 + 3x = 5(8 + x)
-63 + 3x = (8 * 5 + x * 5)
-63 + 3x = (40 + 5x)

Solving
-63 + 3x = 40 + 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.
-63 + 3x + -5x = 40 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-63 + -2x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-63 + -2x = 40 + 0
-63 + -2x = 40

Add '63' to each side of the equation.
-63 + 63 + -2x = 40 + 63

Combine like terms: -63 + 63 = 0
0 + -2x = 40 + 63
-2x = 40 + 63

Combine like terms: 40 + 63 = 103
-2x = 103

Divide each side by '-2'.
x = -51.5

Simplifying
x = -51.5

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