(3x+8)=(-4x+5)

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Solution for (3x+8)=(-4x+5) equation:


Simplifying
(3x + 8) = (-4x + 5)

Reorder the terms:
(8 + 3x) = (-4x + 5)

Remove parenthesis around (8 + 3x)
8 + 3x = (-4x + 5)

Reorder the terms:
8 + 3x = (5 + -4x)

Remove parenthesis around (5 + -4x)
8 + 3x = 5 + -4x

Solving
8 + 3x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + 3x + 4x = 5 + -4x + 4x

Combine like terms: 3x + 4x = 7x
8 + 7x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 7x = 5 + 0
8 + 7x = 5

Add '-8' to each side of the equation.
8 + -8 + 7x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 5 + -8
7x = 5 + -8

Combine like terms: 5 + -8 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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