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

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


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

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

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

Combine like terms: 8 + -3 = 5
5 + 4x = 2x + 1

Reorder the terms:
5 + 4x = 1 + 2x

Solving
5 + 4x = 1 + 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.
5 + 4x + -2x = 1 + 2x + -2x

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

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 1 + -5

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

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

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

Simplifying
x = -2

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