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

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


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

Reorder the terms:
0.7(-2 + x) = 0.3x + -3
(-2 * 0.7 + x * 0.7) = 0.3x + -3
(-1.4 + 0.7x) = 0.3x + -3

Reorder the terms:
-1.4 + 0.7x = -3 + 0.3x

Solving
-1.4 + 0.7x = -3 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-1.4 + 0.7x + -0.3x = -3 + 0.3x + -0.3x

Combine like terms: 0.7x + -0.3x = 0.4x
-1.4 + 0.4x = -3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-1.4 + 0.4x = -3 + 0.0
-1.4 + 0.4x = -3

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.4x = -3 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.4x = -3 + 1.4
0.4x = -3 + 1.4

Combine like terms: -3 + 1.4 = -1.6
0.4x = -1.6

Divide each side by '0.4'.
x = -4

Simplifying
x = -4

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