3x+7=-2(2x+4)+1

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Solution for 3x+7=-2(2x+4)+1 equation:


Simplifying
3x + 7 = -2(2x + 4) + 1

Reorder the terms:
7 + 3x = -2(2x + 4) + 1

Reorder the terms:
7 + 3x = -2(4 + 2x) + 1
7 + 3x = (4 * -2 + 2x * -2) + 1
7 + 3x = (-8 + -4x) + 1

Reorder the terms:
7 + 3x = -8 + 1 + -4x

Combine like terms: -8 + 1 = -7
7 + 3x = -7 + -4x

Solving
7 + 3x = -7 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
7 + 3x + 4x = -7 + -4x + 4x

Combine like terms: 3x + 4x = 7x
7 + 7x = -7 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 7x = -7 + 0
7 + 7x = -7

Add '-7' to each side of the equation.
7 + -7 + 7x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = -7 + -7
7x = -7 + -7

Combine like terms: -7 + -7 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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