-5(3x-6)=2(x-15)-43

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Solution for -5(3x-6)=2(x-15)-43 equation:


Simplifying
-5(3x + -6) = 2(x + -15) + -43

Reorder the terms:
-5(-6 + 3x) = 2(x + -15) + -43
(-6 * -5 + 3x * -5) = 2(x + -15) + -43
(30 + -15x) = 2(x + -15) + -43

Reorder the terms:
30 + -15x = 2(-15 + x) + -43
30 + -15x = (-15 * 2 + x * 2) + -43
30 + -15x = (-30 + 2x) + -43

Reorder the terms:
30 + -15x = -30 + -43 + 2x

Combine like terms: -30 + -43 = -73
30 + -15x = -73 + 2x

Solving
30 + -15x = -73 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + -15x + -2x = -73 + 2x + -2x

Combine like terms: -15x + -2x = -17x
30 + -17x = -73 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -17x = -73 + 0
30 + -17x = -73

Add '-30' to each side of the equation.
30 + -30 + -17x = -73 + -30

Combine like terms: 30 + -30 = 0
0 + -17x = -73 + -30
-17x = -73 + -30

Combine like terms: -73 + -30 = -103
-17x = -103

Divide each side by '-17'.
x = 6.058823529

Simplifying
x = 6.058823529

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