2(x-4)+3(x-1)=-21

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Solution for 2(x-4)+3(x-1)=-21 equation: 


Simplifying
2(x + -4) + 3(x + -1) = -21

Reorder the terms:
2(-4 + x) + 3(x + -1) = -21
(-4 * 2 + x * 2) + 3(x + -1) = -21
(-8 + 2x) + 3(x + -1) = -21

Reorder the terms:
-8 + 2x + 3(-1 + x) = -21
-8 + 2x + (-1 * 3 + x * 3) = -21
-8 + 2x + (-3 + 3x) = -21

Reorder the terms:
-8 + -3 + 2x + 3x = -21

Combine like terms: -8 + -3 = -11
-11 + 2x + 3x = -21

Combine like terms: 2x + 3x = 5x
-11 + 5x = -21

Solving
-11 + 5x = -21

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 5x = -21 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = -21 + 11
5x = -21 + 11

Combine like terms: -21 + 11 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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