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

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


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

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

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

Combine like terms: -5 + 3 = -2
-2 + 5x = 2(2x + 4)

Reorder the terms:
-2 + 5x = 2(4 + 2x)
-2 + 5x = (4 * 2 + 2x * 2)
-2 + 5x = (8 + 4x)

Solving
-2 + 5x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-2 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 1x = 8 + 0
-2 + 1x = 8

Add '2' to each side of the equation.
-2 + 2 + 1x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 8 + 2
1x = 8 + 2

Combine like terms: 8 + 2 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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