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

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


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

Reorder the terms:
4(2 + x) + x + 1 = 2x + -3
(2 * 4 + x * 4) + x + 1 = 2x + -3
(8 + 4x) + x + 1 = 2x + -3

Reorder the terms:
8 + 1 + 4x + x = 2x + -3

Combine like terms: 8 + 1 = 9
9 + 4x + x = 2x + -3

Combine like terms: 4x + x = 5x
9 + 5x = 2x + -3

Reorder the terms:
9 + 5x = -3 + 2x

Solving
9 + 5x = -3 + 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.
9 + 5x + -2x = -3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
9 + 3x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 3x = -3 + 0
9 + 3x = -3

Add '-9' to each side of the equation.
9 + -9 + 3x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -3 + -9
3x = -3 + -9

Combine like terms: -3 + -9 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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