0.7x-0.1(7-2x)=-0.4(x-8)

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Solution for 0.7x-0.1(7-2x)=-0.4(x-8) equation:


Simplifying
0.7x + -0.1(7 + -2x) = -0.4(x + -8)
0.7x + (7 * -0.1 + -2x * -0.1) = -0.4(x + -8)
0.7x + (-0.7 + 0.2x) = -0.4(x + -8)

Reorder the terms:
-0.7 + 0.7x + 0.2x = -0.4(x + -8)

Combine like terms: 0.7x + 0.2x = 0.9x
-0.7 + 0.9x = -0.4(x + -8)

Reorder the terms:
-0.7 + 0.9x = -0.4(-8 + x)
-0.7 + 0.9x = (-8 * -0.4 + x * -0.4)
-0.7 + 0.9x = (3.2 + -0.4x)

Solving
-0.7 + 0.9x = 3.2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-0.7 + 0.9x + 0.4x = 3.2 + -0.4x + 0.4x

Combine like terms: 0.9x + 0.4x = 1.3x
-0.7 + 1.3x = 3.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-0.7 + 1.3x = 3.2 + 0.0
-0.7 + 1.3x = 3.2

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 1.3x = 3.2 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 1.3x = 3.2 + 0.7
1.3x = 3.2 + 0.7

Combine like terms: 3.2 + 0.7 = 3.9
1.3x = 3.9

Divide each side by '1.3'.
x = 3

Simplifying
x = 3

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