-2x-5-2(x-3)=2x-(7x-8)-8x+5

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Solution for -2x-5-2(x-3)=2x-(7x-8)-8x+5 equation:


Simplifying
-2x + -5 + -2(x + -3) = 2x + -1(7x + -8) + -8x + 5

Reorder the terms:
-2x + -5 + -2(-3 + x) = 2x + -1(7x + -8) + -8x + 5
-2x + -5 + (-3 * -2 + x * -2) = 2x + -1(7x + -8) + -8x + 5
-2x + -5 + (6 + -2x) = 2x + -1(7x + -8) + -8x + 5

Reorder the terms:
-5 + 6 + -2x + -2x = 2x + -1(7x + -8) + -8x + 5

Combine like terms: -5 + 6 = 1
1 + -2x + -2x = 2x + -1(7x + -8) + -8x + 5

Combine like terms: -2x + -2x = -4x
1 + -4x = 2x + -1(7x + -8) + -8x + 5

Reorder the terms:
1 + -4x = 2x + -1(-8 + 7x) + -8x + 5
1 + -4x = 2x + (-8 * -1 + 7x * -1) + -8x + 5
1 + -4x = 2x + (8 + -7x) + -8x + 5

Reorder the terms:
1 + -4x = 8 + 5 + 2x + -7x + -8x

Combine like terms: 8 + 5 = 13
1 + -4x = 13 + 2x + -7x + -8x

Combine like terms: 2x + -7x = -5x
1 + -4x = 13 + -5x + -8x

Combine like terms: -5x + -8x = -13x
1 + -4x = 13 + -13x

Solving
1 + -4x = 13 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
1 + -4x + 13x = 13 + -13x + 13x

Combine like terms: -4x + 13x = 9x
1 + 9x = 13 + -13x + 13x

Combine like terms: -13x + 13x = 0
1 + 9x = 13 + 0
1 + 9x = 13

Add '-1' to each side of the equation.
1 + -1 + 9x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 13 + -1
9x = 13 + -1

Combine like terms: 13 + -1 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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