3x-5=7-2(x-4)

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Solution for 3x-5=7-2(x-4) equation:


Simplifying
3x + -5 = 7 + -2(x + -4)

Reorder the terms:
-5 + 3x = 7 + -2(x + -4)

Reorder the terms:
-5 + 3x = 7 + -2(-4 + x)
-5 + 3x = 7 + (-4 * -2 + x * -2)
-5 + 3x = 7 + (8 + -2x)

Combine like terms: 7 + 8 = 15
-5 + 3x = 15 + -2x

Solving
-5 + 3x = 15 + -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.
-5 + 3x + 2x = 15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-5 + 5x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 5x = 15 + 0
-5 + 5x = 15

Add '5' to each side of the equation.
-5 + 5 + 5x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 15 + 5
5x = 15 + 5

Combine like terms: 15 + 5 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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