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

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


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

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

Reorder the terms:
-8 + 4x = 3(1 + 2x) + 1
-8 + 4x = (1 * 3 + 2x * 3) + 1
-8 + 4x = (3 + 6x) + 1

Reorder the terms:
-8 + 4x = 3 + 1 + 6x

Combine like terms: 3 + 1 = 4
-8 + 4x = 4 + 6x

Solving
-8 + 4x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -2x = 4 + 0
-8 + -2x = 4

Add '8' to each side of the equation.
-8 + 8 + -2x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 4 + 8
-2x = 4 + 8

Combine like terms: 4 + 8 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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