-10+(x+6)=4-(2x-3)

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Solution for -10+(x+6)=4-(2x-3) equation:


Simplifying
-10 + (x + 6) = 4 + -1(2x + -3)

Reorder the terms:
-10 + (6 + x) = 4 + -1(2x + -3)

Remove parenthesis around (6 + x)
-10 + 6 + x = 4 + -1(2x + -3)

Combine like terms: -10 + 6 = -4
-4 + x = 4 + -1(2x + -3)

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

Combine like terms: 4 + 3 = 7
-4 + x = 7 + -2x

Solving
-4 + x = 7 + -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.
-4 + x + 2x = 7 + -2x + 2x

Combine like terms: x + 2x = 3x
-4 + 3x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 3x = 7 + 0
-4 + 3x = 7

Add '4' to each side of the equation.
-4 + 4 + 3x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 7 + 4
3x = 7 + 4

Combine like terms: 7 + 4 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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