6.5(x-4)=-0.5x+7

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Solution for 6.5(x-4)=-0.5x+7 equation:


Simplifying
6.5(x + -4) = -0.5x + 7

Reorder the terms:
6.5(-4 + x) = -0.5x + 7
(-4 * 6.5 + x * 6.5) = -0.5x + 7
(-26 + 6.5x) = -0.5x + 7

Reorder the terms:
-26 + 6.5x = 7 + -0.5x

Solving
-26 + 6.5x = 7 + -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.
-26 + 6.5x + 0.5x = 7 + -0.5x + 0.5x

Combine like terms: 6.5x + 0.5x = 7x
-26 + 7x = 7 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-26 + 7x = 7 + 0.0
-26 + 7x = 7

Add '26' to each side of the equation.
-26 + 26 + 7x = 7 + 26

Combine like terms: -26 + 26 = 0
0 + 7x = 7 + 26
7x = 7 + 26

Combine like terms: 7 + 26 = 33
7x = 33

Divide each side by '7'.
x = 4.714285714

Simplifying
x = 4.714285714

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