0.7x-0.1(14-5x)=-0.2(x-7)

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Solution for 0.7x-0.1(14-5x)=-0.2(x-7) equation: 


Simplifying
0.7x + -0.1(14 + -5x) = -0.2(x + -7)
0.7x + (14 * -0.1 + -5x * -0.1) = -0.2(x + -7)
0.7x + (-1.4 + 0.5x) = -0.2(x + -7)

Reorder the terms:
-1.4 + 0.7x + 0.5x = -0.2(x + -7)

Combine like terms: 0.7x + 0.5x = 1.2x
-1.4 + 1.2x = -0.2(x + -7)

Reorder the terms:
-1.4 + 1.2x = -0.2(-7 + x)
-1.4 + 1.2x = (-7 * -0.2 + x * -0.2)
-1.4 + 1.2x = (1.4 + -0.2x)

Solving
-1.4 + 1.2x = 1.4 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.4 + 1.2x + 0.2x = 1.4 + -0.2x + 0.2x

Combine like terms: 1.2x + 0.2x = 1.4x
-1.4 + 1.4x = 1.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.4 + 1.4x = 1.4 + 0.0
-1.4 + 1.4x = 1.4

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1.4x = 1.4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1.4x = 1.4 + 1.4
1.4x = 1.4 + 1.4

Combine like terms: 1.4 + 1.4 = 2.8
1.4x = 2.8

Divide each side by '1.4'.
x = 2

Simplifying
x = 2

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