0.7x-0.4(7-4x)=-0.3(x-8)

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Solution for 0.7x-0.4(7-4x)=-0.3(x-8) equation:


Simplifying
0.7x + -0.4(7 + -4x) = -0.3(x + -8)
0.7x + (7 * -0.4 + -4x * -0.4) = -0.3(x + -8)
0.7x + (-2.8 + 1.6x) = -0.3(x + -8)

Reorder the terms:
-2.8 + 0.7x + 1.6x = -0.3(x + -8)

Combine like terms: 0.7x + 1.6x = 2.3x
-2.8 + 2.3x = -0.3(x + -8)

Reorder the terms:
-2.8 + 2.3x = -0.3(-8 + x)
-2.8 + 2.3x = (-8 * -0.3 + x * -0.3)
-2.8 + 2.3x = (2.4 + -0.3x)

Solving
-2.8 + 2.3x = 2.4 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-2.8 + 2.3x + 0.3x = 2.4 + -0.3x + 0.3x

Combine like terms: 2.3x + 0.3x = 2.6x
-2.8 + 2.6x = 2.4 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-2.8 + 2.6x = 2.4 + 0.0
-2.8 + 2.6x = 2.4

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 2.6x = 2.4 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 2.6x = 2.4 + 2.8
2.6x = 2.4 + 2.8

Combine like terms: 2.4 + 2.8 = 5.2
2.6x = 5.2

Divide each side by '2.6'.
x = 2

Simplifying
x = 2

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