4(x-3)=46-6(3+x)

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Solution for 4(x-3)=46-6(3+x) equation:


Simplifying
4(x + -3) = 46 + -6(3 + x)

Reorder the terms:
4(-3 + x) = 46 + -6(3 + x)
(-3 * 4 + x * 4) = 46 + -6(3 + x)
(-12 + 4x) = 46 + -6(3 + x)
-12 + 4x = 46 + (3 * -6 + x * -6)
-12 + 4x = 46 + (-18 + -6x)

Combine like terms: 46 + -18 = 28
-12 + 4x = 28 + -6x

Solving
-12 + 4x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-12 + 4x + 6x = 28 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-12 + 10x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 10x = 28 + 0
-12 + 10x = 28

Add '12' to each side of the equation.
-12 + 12 + 10x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 28 + 12
10x = 28 + 12

Combine like terms: 28 + 12 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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