2(x-3.4)=0.5x-5

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Solution for 2(x-3.4)=0.5x-5 equation:


Simplifying
2(x + -3.4) = 0.5x + -5

Reorder the terms:
2(-3.4 + x) = 0.5x + -5
(-3.4 * 2 + x * 2) = 0.5x + -5
(-6.8 + 2x) = 0.5x + -5

Reorder the terms:
-6.8 + 2x = -5 + 0.5x

Solving
-6.8 + 2x = -5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-6.8 + 2x + -0.5x = -5 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
-6.8 + 1.5x = -5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-6.8 + 1.5x = -5 + 0.0
-6.8 + 1.5x = -5

Add '6.8' to each side of the equation.
-6.8 + 6.8 + 1.5x = -5 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + 1.5x = -5 + 6.8
1.5x = -5 + 6.8

Combine like terms: -5 + 6.8 = 1.8
1.5x = 1.8

Divide each side by '1.5'.
x = 1.2

Simplifying
x = 1.2

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