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

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Solution for -2(x-5)-1=3(x+3)-7 equation: 


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

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

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

Combine like terms: 10 + -1 = 9
9 + -2x = 3(x + 3) + -7

Reorder the terms:
9 + -2x = 3(3 + x) + -7
9 + -2x = (3 * 3 + x * 3) + -7
9 + -2x = (9 + 3x) + -7

Reorder the terms:
9 + -2x = 9 + -7 + 3x

Combine like terms: 9 + -7 = 2
9 + -2x = 2 + 3x

Solving
9 + -2x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -2x + -3x = 2 + 3x + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x = 2 + 0
9 + -5x = 2

Add '-9' to each side of the equation.
9 + -9 + -5x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 2 + -9
-5x = 2 + -9

Combine like terms: 2 + -9 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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