0.7x-0.1(9-2x)=-0.9(x-7)

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Solution for 0.7x-0.1(9-2x)=-0.9(x-7) equation: 


Simplifying
0.7x + -0.1(9 + -2x) = -0.9(x + -7)
0.7x + (9 * -0.1 + -2x * -0.1) = -0.9(x + -7)
0.7x + (-0.9 + 0.2x) = -0.9(x + -7)

Reorder the terms:
-0.9 + 0.7x + 0.2x = -0.9(x + -7)

Combine like terms: 0.7x + 0.2x = 0.9x
-0.9 + 0.9x = -0.9(x + -7)

Reorder the terms:
-0.9 + 0.9x = -0.9(-7 + x)
-0.9 + 0.9x = (-7 * -0.9 + x * -0.9)
-0.9 + 0.9x = (6.3 + -0.9x)

Solving
-0.9 + 0.9x = 6.3 + -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.
-0.9 + 0.9x + 0.9x = 6.3 + -0.9x + 0.9x

Combine like terms: 0.9x + 0.9x = 1.8x
-0.9 + 1.8x = 6.3 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-0.9 + 1.8x = 6.3 + 0.0
-0.9 + 1.8x = 6.3

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 1.8x = 6.3 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 1.8x = 6.3 + 0.9
1.8x = 6.3 + 0.9

Combine like terms: 6.3 + 0.9 = 7.2
1.8x = 7.2

Divide each side by '1.8'.
x = 4

Simplifying
x = 4

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