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

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Solution for 0.3x-2(x-1.2)=-0.7(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 = -1.6
2.4 + -1.7x = -1.6 + -0.7x

Solving
2.4 + -1.7x = -1.6 + -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 = -1.6 + -0.7x + 0.7x

Combine like terms: -1.7x + 0.7x = -1x
2.4 + -1x = -1.6 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
2.4 + -1x = -1.6 + 0.0
2.4 + -1x = -1.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -1x = -1.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -1x = -1.6 + -2.4
-1x = -1.6 + -2.4

Combine like terms: -1.6 + -2.4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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