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

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


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

Reorder the terms:
2(-3 + x) = 5 + -1(x + -4)
(-3 * 2 + x * 2) = 5 + -1(x + -4)
(-6 + 2x) = 5 + -1(x + -4)

Reorder the terms:
-6 + 2x = 5 + -1(-4 + x)
-6 + 2x = 5 + (-4 * -1 + x * -1)
-6 + 2x = 5 + (4 + -1x)

Combine like terms: 5 + 4 = 9
-6 + 2x = 9 + -1x

Solving
-6 + 2x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = 9 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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