6-2(4x+3)+(x-5)=3-4(2x+3)

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Solution for 6-2(4x+3)+(x-5)=3-4(2x+3) equation:


Simplifying
6 + -2(4x + 3) + (x + -5) = 3 + -4(2x + 3)

Reorder the terms:
6 + -2(3 + 4x) + (x + -5) = 3 + -4(2x + 3)
6 + (3 * -2 + 4x * -2) + (x + -5) = 3 + -4(2x + 3)
6 + (-6 + -8x) + (x + -5) = 3 + -4(2x + 3)

Reorder the terms:
6 + -6 + -8x + (-5 + x) = 3 + -4(2x + 3)

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

Reorder the terms:
6 + -6 + -5 + -8x + x = 3 + -4(2x + 3)

Combine like terms: 6 + -6 = 0
0 + -5 + -8x + x = 3 + -4(2x + 3)
-5 + -8x + x = 3 + -4(2x + 3)

Combine like terms: -8x + x = -7x
-5 + -7x = 3 + -4(2x + 3)

Reorder the terms:
-5 + -7x = 3 + -4(3 + 2x)
-5 + -7x = 3 + (3 * -4 + 2x * -4)
-5 + -7x = 3 + (-12 + -8x)

Combine like terms: 3 + -12 = -9
-5 + -7x = -9 + -8x

Solving
-5 + -7x = -9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + -7x + 8x = -9 + -8x + 8x

Combine like terms: -7x + 8x = 1x
-5 + 1x = -9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + 1x = -9 + 0
-5 + 1x = -9

Add '5' to each side of the equation.
-5 + 5 + 1x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -9 + 5
1x = -9 + 5

Combine like terms: -9 + 5 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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