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

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


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

Reorder the terms:
7 + -2(5 + x) = 4x + -1(6 + -1x)
7 + (5 * -2 + x * -2) = 4x + -1(6 + -1x)
7 + (-10 + -2x) = 4x + -1(6 + -1x)

Combine like terms: 7 + -10 = -3
-3 + -2x = 4x + -1(6 + -1x)
-3 + -2x = 4x + (6 * -1 + -1x * -1)
-3 + -2x = 4x + (-6 + 1x)

Reorder the terms:
-3 + -2x = -6 + 4x + 1x

Combine like terms: 4x + 1x = 5x
-3 + -2x = -6 + 5x

Solving
-3 + -2x = -6 + 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.
-3 + -2x + -5x = -6 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-3 + -7x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -7x = -6 + 0
-3 + -7x = -6

Add '3' to each side of the equation.
-3 + 3 + -7x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -6 + 3
-7x = -6 + 3

Combine like terms: -6 + 3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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