.7x-.9(x-2)=.2(x-5)

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Solution for .7x-.9(x-2)=.2(x-5) equation:


Simplifying
0.7x + -0.9(x + -2) = 0.2(x + -5)

Reorder the terms:
0.7x + -0.9(-2 + x) = 0.2(x + -5)
0.7x + (-2 * -0.9 + x * -0.9) = 0.2(x + -5)
0.7x + (1.8 + -0.9x) = 0.2(x + -5)

Reorder the terms:
1.8 + 0.7x + -0.9x = 0.2(x + -5)

Combine like terms: 0.7x + -0.9x = -0.2x
1.8 + -0.2x = 0.2(x + -5)

Reorder the terms:
1.8 + -0.2x = 0.2(-5 + x)
1.8 + -0.2x = (-5 * 0.2 + x * 0.2)
1.8 + -0.2x = (-1 + 0.2x)

Solving
1.8 + -0.2x = -1 + 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.
1.8 + -0.2x + -0.2x = -1 + 0.2x + -0.2x

Combine like terms: -0.2x + -0.2x = -0.4x
1.8 + -0.4x = -1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.8 + -0.4x = -1 + 0.0
1.8 + -0.4x = -1

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.4x = -1 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.4x = -1 + -1.8
-0.4x = -1 + -1.8

Combine like terms: -1 + -1.8 = -2.8
-0.4x = -2.8

Divide each side by '-0.4'.
x = 7

Simplifying
x = 7

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