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

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


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

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

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

Remove parenthesis around (-3 + 7x)
-10 + 5x = -3 + 7x

Solving
-10 + 5x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 5x + -7x = -3 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-10 + -2x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -2x = -3 + 0
-10 + -2x = -3

Add '10' to each side of the equation.
-10 + 10 + -2x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -3 + 10
-2x = -3 + 10

Combine like terms: -3 + 10 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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