4(3x-7)+0.5(8-6x)=0

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Solution for 4(3x-7)+0.5(8-6x)=0 equation:


Simplifying
4(3x + -7) + 0.5(8 + -6x) = 0

Reorder the terms:
4(-7 + 3x) + 0.5(8 + -6x) = 0
(-7 * 4 + 3x * 4) + 0.5(8 + -6x) = 0
(-28 + 12x) + 0.5(8 + -6x) = 0
-28 + 12x + (8 * 0.5 + -6x * 0.5) = 0
-28 + 12x + (4 + -3x) = 0

Reorder the terms:
-28 + 4 + 12x + -3x = 0

Combine like terms: -28 + 4 = -24
-24 + 12x + -3x = 0

Combine like terms: 12x + -3x = 9x
-24 + 9x = 0

Solving
-24 + 9x = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 9x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 0 + 24
9x = 0 + 24

Combine like terms: 0 + 24 = 24
9x = 24

Divide each side by '9'.
x = 2.666666667

Simplifying
x = 2.666666667

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