4-2(6+x)=7-4(5-x)

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Solution for 4-2(6+x)=7-4(5-x) equation: 


Simplifying
4 + -2(6 + x) = 7 + -4(5 + -1x)
4 + (6 * -2 + x * -2) = 7 + -4(5 + -1x)
4 + (-12 + -2x) = 7 + -4(5 + -1x)

Combine like terms: 4 + -12 = -8
-8 + -2x = 7 + -4(5 + -1x)
-8 + -2x = 7 + (5 * -4 + -1x * -4)
-8 + -2x = 7 + (-20 + 4x)

Combine like terms: 7 + -20 = -13
-8 + -2x = -13 + 4x

Solving
-8 + -2x = -13 + 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.
-8 + -2x + -4x = -13 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-8 + -6x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -6x = -13 + 0
-8 + -6x = -13

Add '8' to each side of the equation.
-8 + 8 + -6x = -13 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -13 + 8
-6x = -13 + 8

Combine like terms: -13 + 8 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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