.3x-2(x-1.2)=.7(x-3)-3.7

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Solution for .3x-2(x-1.2)=.7(x-3)-3.7 equation: 


Simplifying
0.3x + -2(x + -1.2) = 0.7(x + -3) + -3.7

Reorder the terms:
0.3x + -2(-1.2 + x) = 0.7(x + -3) + -3.7
0.3x + (-1.2 * -2 + x * -2) = 0.7(x + -3) + -3.7
0.3x + (2.4 + -2x) = 0.7(x + -3) + -3.7

Reorder the terms:
2.4 + 0.3x + -2x = 0.7(x + -3) + -3.7

Combine like terms: 0.3x + -2x = -1.7x
2.4 + -1.7x = 0.7(x + -3) + -3.7

Reorder the terms:
2.4 + -1.7x = 0.7(-3 + x) + -3.7
2.4 + -1.7x = (-3 * 0.7 + x * 0.7) + -3.7
2.4 + -1.7x = (-2.1 + 0.7x) + -3.7

Reorder the terms:
2.4 + -1.7x = -2.1 + -3.7 + 0.7x

Combine like terms: -2.1 + -3.7 = -5.8
2.4 + -1.7x = -5.8 + 0.7x

Solving
2.4 + -1.7x = -5.8 + 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.
2.4 + -1.7x + -0.7x = -5.8 + 0.7x + -0.7x

Combine like terms: -1.7x + -0.7x = -2.4x
2.4 + -2.4x = -5.8 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
2.4 + -2.4x = -5.8 + 0.0
2.4 + -2.4x = -5.8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -2.4x = -5.8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -2.4x = -5.8 + -2.4
-2.4x = -5.8 + -2.4

Combine like terms: -5.8 + -2.4 = -8.2
-2.4x = -8.2

Divide each side by '-2.4'.
x = 3.416666667

Simplifying
x = 3.416666667

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