0.9x+10=0.2(x+5)+2

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Solution for 0.9x+10=0.2(x+5)+2 equation:


Simplifying
0.9x + 10 = 0.2(x + 5) + 2

Reorder the terms:
10 + 0.9x = 0.2(x + 5) + 2

Reorder the terms:
10 + 0.9x = 0.2(5 + x) + 2
10 + 0.9x = (5 * 0.2 + x * 0.2) + 2
10 + 0.9x = (1 + 0.2x) + 2

Reorder the terms:
10 + 0.9x = 1 + 2 + 0.2x

Combine like terms: 1 + 2 = 3
10 + 0.9x = 3 + 0.2x

Solving
10 + 0.9x = 3 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
10 + 0.9x + -0.2x = 3 + 0.2x + -0.2x

Combine like terms: 0.9x + -0.2x = 0.7x
10 + 0.7x = 3 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
10 + 0.7x = 3 + 0.0
10 + 0.7x = 3

Add '-10' to each side of the equation.
10 + -10 + 0.7x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 0.7x = 3 + -10
0.7x = 3 + -10

Combine like terms: 3 + -10 = -7
0.7x = -7

Divide each side by '0.7'.
x = -10

Simplifying
x = -10

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