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

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


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

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

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

Combine like terms: -8 + -6 = -14
-14 + 4x = 3(x + 1) + -2

Reorder the terms:
-14 + 4x = 3(1 + x) + -2
-14 + 4x = (1 * 3 + x * 3) + -2
-14 + 4x = (3 + 3x) + -2

Reorder the terms:
-14 + 4x = 3 + -2 + 3x

Combine like terms: 3 + -2 = 1
-14 + 4x = 1 + 3x

Solving
-14 + 4x = 1 + 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.
-14 + 4x + -3x = 1 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-14 + 1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 1x = 1 + 0
-14 + 1x = 1

Add '14' to each side of the equation.
-14 + 14 + 1x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 1 + 14
1x = 1 + 14

Combine like terms: 1 + 14 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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