7+2(x-5)=3-6(x-5)

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Solution for 7+2(x-5)=3-6(x-5) equation:


Simplifying
7 + 2(x + -5) = 3 + -6(x + -5)

Reorder the terms:
7 + 2(-5 + x) = 3 + -6(x + -5)
7 + (-5 * 2 + x * 2) = 3 + -6(x + -5)
7 + (-10 + 2x) = 3 + -6(x + -5)

Combine like terms: 7 + -10 = -3
-3 + 2x = 3 + -6(x + -5)

Reorder the terms:
-3 + 2x = 3 + -6(-5 + x)
-3 + 2x = 3 + (-5 * -6 + x * -6)
-3 + 2x = 3 + (30 + -6x)

Combine like terms: 3 + 30 = 33
-3 + 2x = 33 + -6x

Solving
-3 + 2x = 33 + -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.
-3 + 2x + 6x = 33 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-3 + 8x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 8x = 33 + 0
-3 + 8x = 33

Add '3' to each side of the equation.
-3 + 3 + 8x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 33 + 3
8x = 33 + 3

Combine like terms: 33 + 3 = 36
8x = 36

Divide each side by '8'.
x = 4.5

Simplifying
x = 4.5

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