.5(4x-6)-3x=7

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Solution for .5(4x-6)-3x=7 equation:


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

Reorder the terms:
0.5(-6 + 4x) + -3x = 7
(-6 * 0.5 + 4x * 0.5) + -3x = 7
(-3 + 2x) + -3x = 7

Combine like terms: 2x + -3x = -1x
-3 + -1x = 7

Solving
-3 + -1x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 7 + 3
-1x = 7 + 3

Combine like terms: 7 + 3 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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