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

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


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

Reorder the terms:
5(-5 + 3x) = 3x + -7
(-5 * 5 + 3x * 5) = 3x + -7
(-25 + 15x) = 3x + -7

Reorder the terms:
-25 + 15x = -7 + 3x

Solving
-25 + 15x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-25 + 15x + -3x = -7 + 3x + -3x

Combine like terms: 15x + -3x = 12x
-25 + 12x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 12x = -7 + 0
-25 + 12x = -7

Add '25' to each side of the equation.
-25 + 25 + 12x = -7 + 25

Combine like terms: -25 + 25 = 0
0 + 12x = -7 + 25
12x = -7 + 25

Combine like terms: -7 + 25 = 18
12x = 18

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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