(7x-3)=2(5x-3)

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Solution for (7x-3)=2(5x-3) equation:


Simplifying
(7x + -3) = 2(5x + -3)

Reorder the terms:
(-3 + 7x) = 2(5x + -3)

Remove parenthesis around (-3 + 7x)
-3 + 7x = 2(5x + -3)

Reorder the terms:
-3 + 7x = 2(-3 + 5x)
-3 + 7x = (-3 * 2 + 5x * 2)
-3 + 7x = (-6 + 10x)

Solving
-3 + 7x = -6 + 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.
-3 + 7x + -10x = -6 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-3 + -3x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -3x = -6 + 0
-3 + -3x = -6

Add '3' to each side of the equation.
-3 + 3 + -3x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -6 + 3
-3x = -6 + 3

Combine like terms: -6 + 3 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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