3x+4+2x+6=8x-5

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Solution for 3x+4+2x+6=8x-5 equation:


Simplifying
3x + 4 + 2x + 6 = 8x + -5

Reorder the terms:
4 + 6 + 3x + 2x = 8x + -5

Combine like terms: 4 + 6 = 10
10 + 3x + 2x = 8x + -5

Combine like terms: 3x + 2x = 5x
10 + 5x = 8x + -5

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

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

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

Combine like terms: 8x + -8x = 0
10 + -3x = -5 + 0
10 + -3x = -5

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

Combine like terms: 10 + -10 = 0
0 + -3x = -5 + -10
-3x = -5 + -10

Combine like terms: -5 + -10 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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