x+2x-5.8=6.5(x+1.8)

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Solution for x+2x-5.8=6.5(x+1.8) equation:


Simplifying
x + 2x + -5.8 = 6.5(x + 1.8)

Reorder the terms:
-5.8 + x + 2x = 6.5(x + 1.8)

Combine like terms: x + 2x = 3x
-5.8 + 3x = 6.5(x + 1.8)

Reorder the terms:
-5.8 + 3x = 6.5(1.8 + x)
-5.8 + 3x = (1.8 * 6.5 + x * 6.5)
-5.8 + 3x = (11.7 + 6.5x)

Solving
-5.8 + 3x = 11.7 + 6.5x

Solving for variable 'x'.

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

Add '-6.5x' to each side of the equation.
-5.8 + 3x + -6.5x = 11.7 + 6.5x + -6.5x

Combine like terms: 3x + -6.5x = -3.5x
-5.8 + -3.5x = 11.7 + 6.5x + -6.5x

Combine like terms: 6.5x + -6.5x = 0.0
-5.8 + -3.5x = 11.7 + 0.0
-5.8 + -3.5x = 11.7

Add '5.8' to each side of the equation.
-5.8 + 5.8 + -3.5x = 11.7 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + -3.5x = 11.7 + 5.8
-3.5x = 11.7 + 5.8

Combine like terms: 11.7 + 5.8 = 17.5
-3.5x = 17.5

Divide each side by '-3.5'.
x = -5

Simplifying
x = -5

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