13=-3(21-x)+2(x-2)

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Solution for 13=-3(21-x)+2(x-2) equation:


Simplifying
13 = -3(21 + -1x) + 2(x + -2)
13 = (21 * -3 + -1x * -3) + 2(x + -2)
13 = (-63 + 3x) + 2(x + -2)

Reorder the terms:
13 = -63 + 3x + 2(-2 + x)
13 = -63 + 3x + (-2 * 2 + x * 2)
13 = -63 + 3x + (-4 + 2x)

Reorder the terms:
13 = -63 + -4 + 3x + 2x

Combine like terms: -63 + -4 = -67
13 = -67 + 3x + 2x

Combine like terms: 3x + 2x = 5x
13 = -67 + 5x

Solving
13 = -67 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + -5x = -67 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -5x = -67 + 0
13 + -5x = -67

Add '-13' to each side of the equation.
13 + -13 + -5x = -67 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -67 + -13
-5x = -67 + -13

Combine like terms: -67 + -13 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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