7(x-2)-3(x+3)=5(x-3)+3

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Solution for 7(x-2)-3(x+3)=5(x-3)+3 equation:


Simplifying
7(x + -2) + -3(x + 3) = 5(x + -3) + 3

Reorder the terms:
7(-2 + x) + -3(x + 3) = 5(x + -3) + 3
(-2 * 7 + x * 7) + -3(x + 3) = 5(x + -3) + 3
(-14 + 7x) + -3(x + 3) = 5(x + -3) + 3

Reorder the terms:
-14 + 7x + -3(3 + x) = 5(x + -3) + 3
-14 + 7x + (3 * -3 + x * -3) = 5(x + -3) + 3
-14 + 7x + (-9 + -3x) = 5(x + -3) + 3

Reorder the terms:
-14 + -9 + 7x + -3x = 5(x + -3) + 3

Combine like terms: -14 + -9 = -23
-23 + 7x + -3x = 5(x + -3) + 3

Combine like terms: 7x + -3x = 4x
-23 + 4x = 5(x + -3) + 3

Reorder the terms:
-23 + 4x = 5(-3 + x) + 3
-23 + 4x = (-3 * 5 + x * 5) + 3
-23 + 4x = (-15 + 5x) + 3

Reorder the terms:
-23 + 4x = -15 + 3 + 5x

Combine like terms: -15 + 3 = -12
-23 + 4x = -12 + 5x

Solving
-23 + 4x = -12 + 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.
-23 + 4x + -5x = -12 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-23 + -1x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-23 + -1x = -12 + 0
-23 + -1x = -12

Add '23' to each side of the equation.
-23 + 23 + -1x = -12 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = -12 + 23
-1x = -12 + 23

Combine like terms: -12 + 23 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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