5+(x-2)(3)=(x+3)(8)

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Solution for 5+(x-2)(3)=(x+3)(8) equation:


Simplifying
5 + (x + -2)(3) = (x + 3)(8)

Reorder the terms:
5 + (-2 + x)(3) = (x + 3)(8)

Reorder the terms for easier multiplication:
5 + 3(-2 + x) = (x + 3)(8)
5 + (-2 * 3 + x * 3) = (x + 3)(8)
5 + (-6 + 3x) = (x + 3)(8)

Combine like terms: 5 + -6 = -1
-1 + 3x = (x + 3)(8)

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

Reorder the terms for easier multiplication:
-1 + 3x = 8(3 + x)
-1 + 3x = (3 * 8 + x * 8)
-1 + 3x = (24 + 8x)

Solving
-1 + 3x = 24 + 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.
-1 + 3x + -8x = 24 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = 24 + 0
-1 + -5x = 24

Add '1' to each side of the equation.
-1 + 1 + -5x = 24 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 24 + 1
-5x = 24 + 1

Combine like terms: 24 + 1 = 25
-5x = 25

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

Simplifying
x = -5

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