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

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


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

Reorder the terms:
7(-3 + x) = 2(x + -5)
(-3 * 7 + x * 7) = 2(x + -5)
(-21 + 7x) = 2(x + -5)

Reorder the terms:
-21 + 7x = 2(-5 + x)
-21 + 7x = (-5 * 2 + x * 2)
-21 + 7x = (-10 + 2x)

Solving
-21 + 7x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + 7x + -2x = -10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-21 + 5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 5x = -10 + 0
-21 + 5x = -10

Add '21' to each side of the equation.
-21 + 21 + 5x = -10 + 21

Combine like terms: -21 + 21 = 0
0 + 5x = -10 + 21
5x = -10 + 21

Combine like terms: -10 + 21 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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