8x+13=7.5x+16

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Solution for 8x+13=7.5x+16 equation:


Simplifying
8x + 13 = 7.5x + 16

Reorder the terms:
13 + 8x = 7.5x + 16

Reorder the terms:
13 + 8x = 16 + 7.5x

Solving
13 + 8x = 16 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
13 + 8x + -7.5x = 16 + 7.5x + -7.5x

Combine like terms: 8x + -7.5x = 0.5x
13 + 0.5x = 16 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
13 + 0.5x = 16 + 0.0
13 + 0.5x = 16

Add '-13' to each side of the equation.
13 + -13 + 0.5x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 0.5x = 16 + -13
0.5x = 16 + -13

Combine like terms: 16 + -13 = 3
0.5x = 3

Divide each side by '0.5'.
x = 6

Simplifying
x = 6

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