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

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


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

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

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

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

Combine like terms: 6 + -20 = -14
2 + -6x = -14 + 4x

Solving
2 + -6x = -14 + 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.
2 + -6x + -4x = -14 + 4x + -4x

Combine like terms: -6x + -4x = -10x
2 + -10x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -10x = -14 + 0
2 + -10x = -14

Add '-2' to each side of the equation.
2 + -2 + -10x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -14 + -2
-10x = -14 + -2

Combine like terms: -14 + -2 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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