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

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


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

Reorder the terms:
-4(-10 + x) + -6 = -3(x + -2)
(-10 * -4 + x * -4) + -6 = -3(x + -2)
(40 + -4x) + -6 = -3(x + -2)

Reorder the terms:
40 + -6 + -4x = -3(x + -2)

Combine like terms: 40 + -6 = 34
34 + -4x = -3(x + -2)

Reorder the terms:
34 + -4x = -3(-2 + x)
34 + -4x = (-2 * -3 + x * -3)
34 + -4x = (6 + -3x)

Solving
34 + -4x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
34 + -4x + 3x = 6 + -3x + 3x

Combine like terms: -4x + 3x = -1x
34 + -1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + -1x = 6 + 0
34 + -1x = 6

Add '-34' to each side of the equation.
34 + -34 + -1x = 6 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 6 + -34
-1x = 6 + -34

Combine like terms: 6 + -34 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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