10(3-4x)+6=-2-(-6+8x)

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Solution for 10(3-4x)+6=-2-(-6+8x) equation: 


Simplifying
10(3 + -4x) + 6 = -2 + -1(-6 + 8x)
(3 * 10 + -4x * 10) + 6 = -2 + -1(-6 + 8x)
(30 + -40x) + 6 = -2 + -1(-6 + 8x)

Reorder the terms:
30 + 6 + -40x = -2 + -1(-6 + 8x)

Combine like terms: 30 + 6 = 36
36 + -40x = -2 + -1(-6 + 8x)
36 + -40x = -2 + (-6 * -1 + 8x * -1)
36 + -40x = -2 + (6 + -8x)

Combine like terms: -2 + 6 = 4
36 + -40x = 4 + -8x

Solving
36 + -40x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
36 + -40x + 8x = 4 + -8x + 8x

Combine like terms: -40x + 8x = -32x
36 + -32x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
36 + -32x = 4 + 0
36 + -32x = 4

Add '-36' to each side of the equation.
36 + -36 + -32x = 4 + -36

Combine like terms: 36 + -36 = 0
0 + -32x = 4 + -36
-32x = 4 + -36

Combine like terms: 4 + -36 = -32
-32x = -32

Divide each side by '-32'.
x = 1

Simplifying
x = 1

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