0.3x-0.7(5-2x)=-0.4(x-7)

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Solution for 0.3x-0.7(5-2x)=-0.4(x-7) equation:


Simplifying
0.3x + -0.7(5 + -2x) = -0.4(x + -7)
0.3x + (5 * -0.7 + -2x * -0.7) = -0.4(x + -7)
0.3x + (-3.5 + 1.4x) = -0.4(x + -7)

Reorder the terms:
-3.5 + 0.3x + 1.4x = -0.4(x + -7)

Combine like terms: 0.3x + 1.4x = 1.7x
-3.5 + 1.7x = -0.4(x + -7)

Reorder the terms:
-3.5 + 1.7x = -0.4(-7 + x)
-3.5 + 1.7x = (-7 * -0.4 + x * -0.4)
-3.5 + 1.7x = (2.8 + -0.4x)

Solving
-3.5 + 1.7x = 2.8 + -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.
-3.5 + 1.7x + 0.4x = 2.8 + -0.4x + 0.4x

Combine like terms: 1.7x + 0.4x = 2.1x
-3.5 + 2.1x = 2.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-3.5 + 2.1x = 2.8 + 0.0
-3.5 + 2.1x = 2.8

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 2.1x = 2.8 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 2.1x = 2.8 + 3.5
2.1x = 2.8 + 3.5

Combine like terms: 2.8 + 3.5 = 6.3
2.1x = 6.3

Divide each side by '2.1'.
x = 3

Simplifying
x = 3

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