(1x+2)-2(4-3x)=4(1x+5)-2

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Solution for (1x+2)-2(4-3x)=4(1x+5)-2 equation:


Simplifying
(1x + 2) + -2(4 + -3x) = 4(1x + 5) + -2

Reorder the terms:
(2 + 1x) + -2(4 + -3x) = 4(1x + 5) + -2

Remove parenthesis around (2 + 1x)
2 + 1x + -2(4 + -3x) = 4(1x + 5) + -2
2 + 1x + (4 * -2 + -3x * -2) = 4(1x + 5) + -2
2 + 1x + (-8 + 6x) = 4(1x + 5) + -2

Reorder the terms:
2 + -8 + 1x + 6x = 4(1x + 5) + -2

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

Combine like terms: 1x + 6x = 7x
-6 + 7x = 4(1x + 5) + -2

Reorder the terms:
-6 + 7x = 4(5 + 1x) + -2
-6 + 7x = (5 * 4 + 1x * 4) + -2
-6 + 7x = (20 + 4x) + -2

Reorder the terms:
-6 + 7x = 20 + -2 + 4x

Combine like terms: 20 + -2 = 18
-6 + 7x = 18 + 4x

Solving
-6 + 7x = 18 + 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.
-6 + 7x + -4x = 18 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-6 + 3x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 3x = 18 + 0
-6 + 3x = 18

Add '6' to each side of the equation.
-6 + 6 + 3x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 18 + 6
3x = 18 + 6

Combine like terms: 18 + 6 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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