1.6x+10=0.9x+12

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Solution for 1.6x+10=0.9x+12 equation:


Simplifying
1.6x + 10 = 0.9x + 12

Reorder the terms:
10 + 1.6x = 0.9x + 12

Reorder the terms:
10 + 1.6x = 12 + 0.9x

Solving
10 + 1.6x = 12 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
10 + 1.6x + -0.9x = 12 + 0.9x + -0.9x

Combine like terms: 1.6x + -0.9x = 0.7x
10 + 0.7x = 12 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
10 + 0.7x = 12 + 0.0
10 + 0.7x = 12

Add '-10' to each side of the equation.
10 + -10 + 0.7x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 0.7x = 12 + -10
0.7x = 12 + -10

Combine like terms: 12 + -10 = 2
0.7x = 2

Divide each side by '0.7'.
x = 2.857142857

Simplifying
x = 2.857142857

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