5x+10=-3x+8

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Solution for 5x+10=-3x+8 equation:


Simplifying
5x + 10 = -3x + 8

Reorder the terms:
10 + 5x = -3x + 8

Reorder the terms:
10 + 5x = 8 + -3x

Solving
10 + 5x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 5x + 3x = 8 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
10 + 8x = 8 + 0
10 + 8x = 8

Add '-10' to each side of the equation.
10 + -10 + 8x = 8 + -10

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

Combine like terms: 8 + -10 = -2
8x = -2

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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