5(x-2)=3+1(2x-4)

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Solution for 5(x-2)=3+1(2x-4) equation:


Simplifying
5(x + -2) = 3 + 1(2x + -4)

Reorder the terms:
5(-2 + x) = 3 + 1(2x + -4)
(-2 * 5 + x * 5) = 3 + 1(2x + -4)
(-10 + 5x) = 3 + 1(2x + -4)

Reorder the terms:
-10 + 5x = 3 + 1(-4 + 2x)
-10 + 5x = 3 + (-4 * 1 + 2x * 1)
-10 + 5x = 3 + (-4 + 2x)

Combine like terms: 3 + -4 = -1
-10 + 5x = -1 + 2x

Solving
-10 + 5x = -1 + 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.
-10 + 5x + -2x = -1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = -1 + 0
-10 + 3x = -1

Add '10' to each side of the equation.
-10 + 10 + 3x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -1 + 10
3x = -1 + 10

Combine like terms: -1 + 10 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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