2(x+3)-4=5(x+1)-6

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Solution for 2(x+3)-4=5(x+1)-6 equation: 


Simplifying
2(x + 3) + -4 = 5(x + 1) + -6

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

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

Combine like terms: 6 + -4 = 2
2 + 2x = 5(x + 1) + -6

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

Reorder the terms:
2 + 2x = 5 + -6 + 5x

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

Solving
2 + 2x = -1 + 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.
2 + 2x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + -3x = -1 + 0
2 + -3x = -1

Add '-2' to each side of the equation.
2 + -2 + -3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -1 + -2
-3x = -1 + -2

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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