3(x-6)+8=4-(x+10)

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Solution for 3(x-6)+8=4-(x+10) equation:


Simplifying
3(x + -6) + 8 = 4 + -1(x + 10)

Reorder the terms:
3(-6 + x) + 8 = 4 + -1(x + 10)
(-6 * 3 + x * 3) + 8 = 4 + -1(x + 10)
(-18 + 3x) + 8 = 4 + -1(x + 10)

Reorder the terms:
-18 + 8 + 3x = 4 + -1(x + 10)

Combine like terms: -18 + 8 = -10
-10 + 3x = 4 + -1(x + 10)

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

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

Solving
-10 + 3x = -6 + -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 + 3x + x = -6 + -1x + x

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

Combine like terms: -1x + x = 0
-10 + 4x = -6 + 0
-10 + 4x = -6

Add '10' to each side of the equation.
-10 + 10 + 4x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -6 + 10
4x = -6 + 10

Combine like terms: -6 + 10 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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