5(x-20)+3=7x+9

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Solution for 5(x-20)+3=7x+9 equation:


Simplifying
5(x + -20) + 3 = 7x + 9

Reorder the terms:
5(-20 + x) + 3 = 7x + 9
(-20 * 5 + x * 5) + 3 = 7x + 9
(-100 + 5x) + 3 = 7x + 9

Reorder the terms:
-100 + 3 + 5x = 7x + 9

Combine like terms: -100 + 3 = -97
-97 + 5x = 7x + 9

Reorder the terms:
-97 + 5x = 9 + 7x

Solving
-97 + 5x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-97 + 5x + -7x = 9 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-97 + -2x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-97 + -2x = 9 + 0
-97 + -2x = 9

Add '97' to each side of the equation.
-97 + 97 + -2x = 9 + 97

Combine like terms: -97 + 97 = 0
0 + -2x = 9 + 97
-2x = 9 + 97

Combine like terms: 9 + 97 = 106
-2x = 106

Divide each side by '-2'.
x = -53

Simplifying
x = -53

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