.5(4x-6)+1=2(x-10)-3

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Solution for .5(4x-6)+1=2(x-10)-3 equation:


Simplifying
0.5(4x + -6) + 1 = 2(x + -10) + -3

Reorder the terms:
0.5(-6 + 4x) + 1 = 2(x + -10) + -3
(-6 * 0.5 + 4x * 0.5) + 1 = 2(x + -10) + -3
(-3 + 2x) + 1 = 2(x + -10) + -3

Reorder the terms:
-3 + 1 + 2x = 2(x + -10) + -3

Combine like terms: -3 + 1 = -2
-2 + 2x = 2(x + -10) + -3

Reorder the terms:
-2 + 2x = 2(-10 + x) + -3
-2 + 2x = (-10 * 2 + x * 2) + -3
-2 + 2x = (-20 + 2x) + -3

Reorder the terms:
-2 + 2x = -20 + -3 + 2x

Combine like terms: -20 + -3 = -23
-2 + 2x = -23 + 2x

Add '-2x' to each side of the equation.
-2 + 2x + -2x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 0 = -23 + 2x + -2x
-2 = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 = -23 + 0
-2 = -23

Solving
-2 = -23

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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