5(x-3)=9x-7

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


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

Reorder the terms:
5(-3 + x) = 9x + -7
(-3 * 5 + x * 5) = 9x + -7
(-15 + 5x) = 9x + -7

Reorder the terms:
-15 + 5x = -7 + 9x

Solving
-15 + 5x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-15 + 5x + -9x = -7 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-15 + -4x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + -4x = -7 + 0
-15 + -4x = -7

Add '15' to each side of the equation.
-15 + 15 + -4x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = -7 + 15
-4x = -7 + 15

Combine like terms: -7 + 15 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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