4(x+2)+1=7-2(x-2)

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Solution for 4(x+2)+1=7-2(x-2) equation:


Simplifying
4(x + 2) + 1 = 7 + -2(x + -2)

Reorder the terms:
4(2 + x) + 1 = 7 + -2(x + -2)
(2 * 4 + x * 4) + 1 = 7 + -2(x + -2)
(8 + 4x) + 1 = 7 + -2(x + -2)

Reorder the terms:
8 + 1 + 4x = 7 + -2(x + -2)

Combine like terms: 8 + 1 = 9
9 + 4x = 7 + -2(x + -2)

Reorder the terms:
9 + 4x = 7 + -2(-2 + x)
9 + 4x = 7 + (-2 * -2 + x * -2)
9 + 4x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
9 + 4x = 11 + -2x

Solving
9 + 4x = 11 + -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 + 4x + 2x = 11 + -2x + 2x

Combine like terms: 4x + 2x = 6x
9 + 6x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 6x = 11 + 0
9 + 6x = 11

Add '-9' to each side of the equation.
9 + -9 + 6x = 11 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 11 + -9
6x = 11 + -9

Combine like terms: 11 + -9 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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