9(x-3)-4(7-3x)=503x

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Solution for 9(x-3)-4(7-3x)=503x equation:


Simplifying
9(x + -3) + -4(7 + -3x) = 503x

Reorder the terms:
9(-3 + x) + -4(7 + -3x) = 503x
(-3 * 9 + x * 9) + -4(7 + -3x) = 503x
(-27 + 9x) + -4(7 + -3x) = 503x
-27 + 9x + (7 * -4 + -3x * -4) = 503x
-27 + 9x + (-28 + 12x) = 503x

Reorder the terms:
-27 + -28 + 9x + 12x = 503x

Combine like terms: -27 + -28 = -55
-55 + 9x + 12x = 503x

Combine like terms: 9x + 12x = 21x
-55 + 21x = 503x

Solving
-55 + 21x = 503x

Solving for variable 'x'.

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

Add '-503x' to each side of the equation.
-55 + 21x + -503x = 503x + -503x

Combine like terms: 21x + -503x = -482x
-55 + -482x = 503x + -503x

Combine like terms: 503x + -503x = 0
-55 + -482x = 0

Add '55' to each side of the equation.
-55 + 55 + -482x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -482x = 0 + 55
-482x = 0 + 55

Combine like terms: 0 + 55 = 55
-482x = 55

Divide each side by '-482'.
x = -0.1141078838

Simplifying
x = -0.1141078838

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