0.7x-0.3(7-4x)=-0.9(x-7)

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Solution for 0.7x-0.3(7-4x)=-0.9(x-7) equation: 


Simplifying
0.7x + -0.3(7 + -4x) = -0.9(x + -7)
0.7x + (7 * -0.3 + -4x * -0.3) = -0.9(x + -7)
0.7x + (-2.1 + 1.2x) = -0.9(x + -7)

Reorder the terms:
-2.1 + 0.7x + 1.2x = -0.9(x + -7)

Combine like terms: 0.7x + 1.2x = 1.9x
-2.1 + 1.9x = -0.9(x + -7)

Reorder the terms:
-2.1 + 1.9x = -0.9(-7 + x)
-2.1 + 1.9x = (-7 * -0.9 + x * -0.9)
-2.1 + 1.9x = (6.3 + -0.9x)

Solving
-2.1 + 1.9x = 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.
-2.1 + 1.9x + 0.9x = 6.3 + -0.9x + 0.9x

Combine like terms: 1.9x + 0.9x = 2.8x
-2.1 + 2.8x = 6.3 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-2.1 + 2.8x = 6.3 + 0.0
-2.1 + 2.8x = 6.3

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 2.8x = 6.3 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 2.8x = 6.3 + 2.1
2.8x = 6.3 + 2.1

Combine like terms: 6.3 + 2.1 = 8.4
2.8x = 8.4

Divide each side by '2.8'.
x = 3

Simplifying
x = 3

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