0.4x-0.3(4-3x)=-0.7(x-4)

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Solution for 0.4x-0.3(4-3x)=-0.7(x-4) equation:


Simplifying
0.4x + -0.3(4 + -3x) = -0.7(x + -4)
0.4x + (4 * -0.3 + -3x * -0.3) = -0.7(x + -4)
0.4x + (-1.2 + 0.9x) = -0.7(x + -4)

Reorder the terms:
-1.2 + 0.4x + 0.9x = -0.7(x + -4)

Combine like terms: 0.4x + 0.9x = 1.3x
-1.2 + 1.3x = -0.7(x + -4)

Reorder the terms:
-1.2 + 1.3x = -0.7(-4 + x)
-1.2 + 1.3x = (-4 * -0.7 + x * -0.7)
-1.2 + 1.3x = (2.8 + -0.7x)

Solving
-1.2 + 1.3x = 2.8 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-1.2 + 1.3x + 0.7x = 2.8 + -0.7x + 0.7x

Combine like terms: 1.3x + 0.7x = 2x
-1.2 + 2x = 2.8 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-1.2 + 2x = 2.8 + 0.0
-1.2 + 2x = 2.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 2x = 2.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 2x = 2.8 + 1.2
2x = 2.8 + 1.2

Combine like terms: 2.8 + 1.2 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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