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

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


Simplifying
7 + -2(3x + 5) + -1(2x + -3) = -5x + 3 + -2x

Reorder the terms:
7 + -2(5 + 3x) + -1(2x + -3) = -5x + 3 + -2x
7 + (5 * -2 + 3x * -2) + -1(2x + -3) = -5x + 3 + -2x
7 + (-10 + -6x) + -1(2x + -3) = -5x + 3 + -2x

Reorder the terms:
7 + -10 + -6x + -1(-3 + 2x) = -5x + 3 + -2x
7 + -10 + -6x + (-3 * -1 + 2x * -1) = -5x + 3 + -2x
7 + -10 + -6x + (3 + -2x) = -5x + 3 + -2x

Reorder the terms:
7 + -10 + 3 + -6x + -2x = -5x + 3 + -2x

Combine like terms: 7 + -10 = -3
-3 + 3 + -6x + -2x = -5x + 3 + -2x

Combine like terms: -3 + 3 = 0
0 + -6x + -2x = -5x + 3 + -2x
-6x + -2x = -5x + 3 + -2x

Combine like terms: -6x + -2x = -8x
-8x = -5x + 3 + -2x

Reorder the terms:
-8x = 3 + -5x + -2x

Combine like terms: -5x + -2x = -7x
-8x = 3 + -7x

Solving
-8x = 3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8x + 7x = 3 + -7x + 7x

Combine like terms: -8x + 7x = -1x
-1x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
-1x = 3 + 0
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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