7(3X-2)-4(X+1)=-52

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Solution for 7(3X-2)-4(X+1)=-52 equation: 


Simplifying
7(3X + -2) + -4(X + 1) = -52

Reorder the terms:
7(-2 + 3X) + -4(X + 1) = -52
(-2 * 7 + 3X * 7) + -4(X + 1) = -52
(-14 + 21X) + -4(X + 1) = -52

Reorder the terms:
-14 + 21X + -4(1 + X) = -52
-14 + 21X + (1 * -4 + X * -4) = -52
-14 + 21X + (-4 + -4X) = -52

Reorder the terms:
-14 + -4 + 21X + -4X = -52

Combine like terms: -14 + -4 = -18
-18 + 21X + -4X = -52

Combine like terms: 21X + -4X = 17X
-18 + 17X = -52

Solving
-18 + 17X = -52

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + 18 + 17X = -52 + 18

Combine like terms: -18 + 18 = 0
0 + 17X = -52 + 18
17X = -52 + 18

Combine like terms: -52 + 18 = -34
17X = -34

Divide each side by '17'.
X = -2

Simplifying
X = -2

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