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

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


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

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

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

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

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

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

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

Combine like terms: 5x + x = 6x
-23 + 4x = -15 + 6x

Solving
-23 + 4x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-23 + 4x + -6x = -15 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-23 + -2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-23 + -2x = -15 + 0
-23 + -2x = -15

Add '23' to each side of the equation.
-23 + 23 + -2x = -15 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = -15 + 23
-2x = -15 + 23

Combine like terms: -15 + 23 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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