0.7(x-5)=0.1x-5.3

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Solution for 0.7(x-5)=0.1x-5.3 equation: 


Simplifying
0.7(x + -5) = 0.1x + -5.3

Reorder the terms:
0.7(-5 + x) = 0.1x + -5.3
(-5 * 0.7 + x * 0.7) = 0.1x + -5.3
(-3.5 + 0.7x) = 0.1x + -5.3

Reorder the terms:
-3.5 + 0.7x = -5.3 + 0.1x

Solving
-3.5 + 0.7x = -5.3 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-3.5 + 0.7x + -0.1x = -5.3 + 0.1x + -0.1x

Combine like terms: 0.7x + -0.1x = 0.6x
-3.5 + 0.6x = -5.3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-3.5 + 0.6x = -5.3 + 0.0
-3.5 + 0.6x = -5.3

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.6x = -5.3 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.6x = -5.3 + 3.5
0.6x = -5.3 + 3.5

Combine like terms: -5.3 + 3.5 = -1.8
0.6x = -1.8

Divide each side by '0.6'.
x = -3

Simplifying
x = -3

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