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

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


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

Reorder the terms:
2(5 + x) + -4 = 3(x + 2) + -1
(5 * 2 + x * 2) + -4 = 3(x + 2) + -1
(10 + 2x) + -4 = 3(x + 2) + -1

Reorder the terms:
10 + -4 + 2x = 3(x + 2) + -1

Combine like terms: 10 + -4 = 6
6 + 2x = 3(x + 2) + -1

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

Reorder the terms:
6 + 2x = 6 + -1 + 3x

Combine like terms: 6 + -1 = 5
6 + 2x = 5 + 3x

Solving
6 + 2x = 5 + 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.
6 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = 5 + 0
6 + -1x = 5

Add '-6' to each side of the equation.
6 + -6 + -1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 5 + -6
-1x = 5 + -6

Combine like terms: 5 + -6 = -1
-1x = -1

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

Simplifying
x = 1

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