4(x-4)=-6(x+3)+34

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Solution for 4(x-4)=-6(x+3)+34 equation:


Simplifying
4(x + -4) = -6(x + 3) + 34

Reorder the terms:
4(-4 + x) = -6(x + 3) + 34
(-4 * 4 + x * 4) = -6(x + 3) + 34
(-16 + 4x) = -6(x + 3) + 34

Reorder the terms:
-16 + 4x = -6(3 + x) + 34
-16 + 4x = (3 * -6 + x * -6) + 34
-16 + 4x = (-18 + -6x) + 34

Reorder the terms:
-16 + 4x = -18 + 34 + -6x

Combine like terms: -18 + 34 = 16
-16 + 4x = 16 + -6x

Solving
-16 + 4x = 16 + -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.
-16 + 4x + 6x = 16 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-16 + 10x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 10x = 16 + 0
-16 + 10x = 16

Add '16' to each side of the equation.
-16 + 16 + 10x = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 16 + 16
10x = 16 + 16

Combine like terms: 16 + 16 = 32
10x = 32

Divide each side by '10'.
x = 3.2

Simplifying
x = 3.2

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