3(x+3)=8(x-1)-3

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Solution for 3(x+3)=8(x-1)-3 equation:


Simplifying
3(x + 3) = 8(x + -1) + -3

Reorder the terms:
3(3 + x) = 8(x + -1) + -3
(3 * 3 + x * 3) = 8(x + -1) + -3
(9 + 3x) = 8(x + -1) + -3

Reorder the terms:
9 + 3x = 8(-1 + x) + -3
9 + 3x = (-1 * 8 + x * 8) + -3
9 + 3x = (-8 + 8x) + -3

Reorder the terms:
9 + 3x = -8 + -3 + 8x

Combine like terms: -8 + -3 = -11
9 + 3x = -11 + 8x

Solving
9 + 3x = -11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 3x + -8x = -11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
9 + -5x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -5x = -11 + 0
9 + -5x = -11

Add '-9' to each side of the equation.
9 + -9 + -5x = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -11 + -9
-5x = -11 + -9

Combine like terms: -11 + -9 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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