(3x+10)=(8x+5)

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Solution for (3x+10)=(8x+5) equation:


Simplifying
(3x + 10) = (8x + 5)

Reorder the terms:
(10 + 3x) = (8x + 5)

Remove parenthesis around (10 + 3x)
10 + 3x = (8x + 5)

Reorder the terms:
10 + 3x = (5 + 8x)

Remove parenthesis around (5 + 8x)
10 + 3x = 5 + 8x

Solving
10 + 3x = 5 + 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.
10 + 3x + -8x = 5 + 8x + -8x

Combine like terms: 3x + -8x = -5x
10 + -5x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -5x = 5 + 0
10 + -5x = 5

Add '-10' to each side of the equation.
10 + -10 + -5x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 5 + -10
-5x = 5 + -10

Combine like terms: 5 + -10 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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