-3(x+7)=2(x-8)+3

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Solution for -3(x+7)=2(x-8)+3 equation:


Simplifying
-3(x + 7) = 2(x + -8) + 3

Reorder the terms:
-3(7 + x) = 2(x + -8) + 3
(7 * -3 + x * -3) = 2(x + -8) + 3
(-21 + -3x) = 2(x + -8) + 3

Reorder the terms:
-21 + -3x = 2(-8 + x) + 3
-21 + -3x = (-8 * 2 + x * 2) + 3
-21 + -3x = (-16 + 2x) + 3

Reorder the terms:
-21 + -3x = -16 + 3 + 2x

Combine like terms: -16 + 3 = -13
-21 + -3x = -13 + 2x

Solving
-21 + -3x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + -3x + -2x = -13 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-21 + -5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + -5x = -13 + 0
-21 + -5x = -13

Add '21' to each side of the equation.
-21 + 21 + -5x = -13 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = -13 + 21
-5x = -13 + 21

Combine like terms: -13 + 21 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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