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

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


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

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

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

Combine like terms: 4 + 6 = 10
10 + x + -3x = (5 + -2x) + -4x + 3

Combine like terms: x + -3x = -2x
10 + -2x = (5 + -2x) + -4x + 3

Remove parenthesis around (5 + -2x)
10 + -2x = 5 + -2x + -4x + 3

Reorder the terms:
10 + -2x = 5 + 3 + -2x + -4x

Combine like terms: 5 + 3 = 8
10 + -2x = 8 + -2x + -4x

Combine like terms: -2x + -4x = -6x
10 + -2x = 8 + -6x

Solving
10 + -2x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + -2x + 6x = 8 + -6x + 6x

Combine like terms: -2x + 6x = 4x
10 + 4x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 4x = 8 + 0
10 + 4x = 8

Add '-10' to each side of the equation.
10 + -10 + 4x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 8 + -10
4x = 8 + -10

Combine like terms: 8 + -10 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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