3x+10.5=6.5+2.5x

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Solution for 3x+10.5=6.5+2.5x equation:


Simplifying
3x + 10.5 = 6.5 + 2.5x

Reorder the terms:
10.5 + 3x = 6.5 + 2.5x

Solving
10.5 + 3x = 6.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
10.5 + 3x + -2.5x = 6.5 + 2.5x + -2.5x

Combine like terms: 3x + -2.5x = 0.5x
10.5 + 0.5x = 6.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
10.5 + 0.5x = 6.5 + 0.0
10.5 + 0.5x = 6.5

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 0.5x = 6.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 0.5x = 6.5 + -10.5
0.5x = 6.5 + -10.5

Combine like terms: 6.5 + -10.5 = -4
0.5x = -4

Divide each side by '0.5'.
x = -8

Simplifying
x = -8

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