2(x+7)+7=3(x-4)-1

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Solution for 2(x+7)+7=3(x-4)-1 equation: 


Simplifying
2(x + 7) + 7 = 3(x + -4) + -1

Reorder the terms:
2(7 + x) + 7 = 3(x + -4) + -1
(7 * 2 + x * 2) + 7 = 3(x + -4) + -1
(14 + 2x) + 7 = 3(x + -4) + -1

Reorder the terms:
14 + 7 + 2x = 3(x + -4) + -1

Combine like terms: 14 + 7 = 21
21 + 2x = 3(x + -4) + -1

Reorder the terms:
21 + 2x = 3(-4 + x) + -1
21 + 2x = (-4 * 3 + x * 3) + -1
21 + 2x = (-12 + 3x) + -1

Reorder the terms:
21 + 2x = -12 + -1 + 3x

Combine like terms: -12 + -1 = -13
21 + 2x = -13 + 3x

Solving
21 + 2x = -13 + 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.
21 + 2x + -3x = -13 + 3x + -3x

Combine like terms: 2x + -3x = -1x
21 + -1x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -1x = -13 + 0
21 + -1x = -13

Add '-21' to each side of the equation.
21 + -21 + -1x = -13 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -13 + -21
-1x = -13 + -21

Combine like terms: -13 + -21 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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