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

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


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

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

Combine like terms: 5 + 4 = 9
9 + -1x = 2(x + 3)

Reorder the terms:
9 + -1x = 2(3 + x)
9 + -1x = (3 * 2 + x * 2)
9 + -1x = (6 + 2x)

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

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

Combine like terms: 2x + -2x = 0
9 + -3x = 6 + 0
9 + -3x = 6

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

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

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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