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

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


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

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

Combine like terms: 9 + -7 = 2
-15 + 5x = 5x(2)

Reorder the terms for easier multiplication:
-15 + 5x = 5 * 2x

Multiply 5 * 2
-15 + 5x = 10x

Solving
-15 + 5x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-15 + 5x + -10x = 10x + -10x

Combine like terms: 5x + -10x = -5x
-15 + -5x = 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + -5x = 0

Add '15' to each side of the equation.
-15 + 15 + -5x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = 0 + 15
-5x = 0 + 15

Combine like terms: 0 + 15 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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