6-4(x-1)=3x+2(x+5)

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Solution for 6-4(x-1)=3x+2(x+5) equation: 


Simplifying
6 + -4(x + -1) = 3x + 2(x + 5)

Reorder the terms:
6 + -4(-1 + x) = 3x + 2(x + 5)
6 + (-1 * -4 + x * -4) = 3x + 2(x + 5)
6 + (4 + -4x) = 3x + 2(x + 5)

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

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

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

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

Add '-10' to each side of the equation.
10 + -10 + -4x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
0 + -4x = 10 + -10 + 5x
-4x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
-4x = 0 + 5x
-4x = 5x

Solving
-4x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4x + -5x = 5x + -5x

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

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

Divide each side by '-9'.
x = 0

Simplifying
x = 0

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