3(x+2)+4=5(x-1)+1

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Solution for 3(x+2)+4=5(x-1)+1 equation: 


Simplifying
3(x + 2) + 4 = 5(x + -1) + 1

Reorder the terms:
3(2 + x) + 4 = 5(x + -1) + 1
(2 * 3 + x * 3) + 4 = 5(x + -1) + 1
(6 + 3x) + 4 = 5(x + -1) + 1

Reorder the terms:
6 + 4 + 3x = 5(x + -1) + 1

Combine like terms: 6 + 4 = 10
10 + 3x = 5(x + -1) + 1

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

Reorder the terms:
10 + 3x = -5 + 1 + 5x

Combine like terms: -5 + 1 = -4
10 + 3x = -4 + 5x

Solving
10 + 3x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = -4 + 0
10 + -2x = -4

Add '-10' to each side of the equation.
10 + -10 + -2x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -4 + -10
-2x = -4 + -10

Combine like terms: -4 + -10 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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