4(x-2)+1=3x-6

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Solution for 4(x-2)+1=3x-6 equation:


Simplifying
4(x + -2) + 1 = 3x + -6

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

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

Combine like terms: -8 + 1 = -7
-7 + 4x = 3x + -6

Reorder the terms:
-7 + 4x = -6 + 3x

Solving
-7 + 4x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-7 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 1x = -6 + 0
-7 + 1x = -6

Add '7' to each side of the equation.
-7 + 7 + 1x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -6 + 7
1x = -6 + 7

Combine like terms: -6 + 7 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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