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

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


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

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

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

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

Reorder the terms:
-7 + -2x = 3(3 + x) + 1
-7 + -2x = (3 * 3 + x * 3) + 1
-7 + -2x = (9 + 3x) + 1

Reorder the terms:
-7 + -2x = 9 + 1 + 3x

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

Solving
-7 + -2x = 10 + 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.
-7 + -2x + -3x = 10 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-7 + -5x = 10 + 0
-7 + -5x = 10

Add '7' to each side of the equation.
-7 + 7 + -5x = 10 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 10 + 7
-5x = 10 + 7

Combine like terms: 10 + 7 = 17
-5x = 17

Divide each side by '-5'.
x = -3.4

Simplifying
x = -3.4

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