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

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


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

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

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

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

Combine like terms: -8 + 3 = -5
-5 + 4x + -3x = 2(x + 6) + 1

Combine like terms: 4x + -3x = 1x
-5 + 1x = 2(x + 6) + 1

Reorder the terms:
-5 + 1x = 2(6 + x) + 1
-5 + 1x = (6 * 2 + x * 2) + 1
-5 + 1x = (12 + 2x) + 1

Reorder the terms:
-5 + 1x = 12 + 1 + 2x

Combine like terms: 12 + 1 = 13
-5 + 1x = 13 + 2x

Solving
-5 + 1x = 13 + 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 + 1x + -2x = 13 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-5 + -1x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -1x = 13 + 0
-5 + -1x = 13

Add '5' to each side of the equation.
-5 + 5 + -1x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 13 + 5
-1x = 13 + 5

Combine like terms: 13 + 5 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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