5(2x-5)=3x-4

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Solution for 5(2x-5)=3x-4 equation:


Simplifying
5(2x + -5) = 3x + -4

Reorder the terms:
5(-5 + 2x) = 3x + -4
(-5 * 5 + 2x * 5) = 3x + -4
(-25 + 10x) = 3x + -4

Reorder the terms:
-25 + 10x = -4 + 3x

Solving
-25 + 10x = -4 + 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 + 10x + -3x = -4 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-25 + 7x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 7x = -4 + 0
-25 + 7x = -4

Add '25' to each side of the equation.
-25 + 25 + 7x = -4 + 25

Combine like terms: -25 + 25 = 0
0 + 7x = -4 + 25
7x = -4 + 25

Combine like terms: -4 + 25 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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