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

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


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

Reorder the terms:
-4(-3 + x) = -1(3x + 10)
(-3 * -4 + x * -4) = -1(3x + 10)
(12 + -4x) = -1(3x + 10)

Reorder the terms:
12 + -4x = -1(10 + 3x)
12 + -4x = (10 * -1 + 3x * -1)
12 + -4x = (-10 + -3x)

Solving
12 + -4x = -10 + -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.
12 + -4x + 3x = -10 + -3x + 3x

Combine like terms: -4x + 3x = -1x
12 + -1x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -1x = -10 + 0
12 + -1x = -10

Add '-12' to each side of the equation.
12 + -12 + -1x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -10 + -12
-1x = -10 + -12

Combine like terms: -10 + -12 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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