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

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


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

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

Combine like terms: 4 + 6 = 10
10 + -2x = 5 + -1(x + 4)

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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