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

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


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

Reorder the terms:
-3(7 + x) = 2(x + 5) + 1
(7 * -3 + x * -3) = 2(x + 5) + 1
(-21 + -3x) = 2(x + 5) + 1

Reorder the terms:
-21 + -3x = 2(5 + x) + 1
-21 + -3x = (5 * 2 + x * 2) + 1
-21 + -3x = (10 + 2x) + 1

Reorder the terms:
-21 + -3x = 10 + 1 + 2x

Combine like terms: 10 + 1 = 11
-21 + -3x = 11 + 2x

Solving
-21 + -3x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + -3x + -2x = 11 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-21 + -5x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + -5x = 11 + 0
-21 + -5x = 11

Add '21' to each side of the equation.
-21 + 21 + -5x = 11 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = 11 + 21
-5x = 11 + 21

Combine like terms: 11 + 21 = 32
-5x = 32

Divide each side by '-5'.
x = -6.4

Simplifying
x = -6.4

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