7+2(x-4)=6x-(5x+10)

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Solution for 7+2(x-4)=6x-(5x+10) equation:


Simplifying
7 + 2(x + -4) = 6x + -1(5x + 10)

Reorder the terms:
7 + 2(-4 + x) = 6x + -1(5x + 10)
7 + (-4 * 2 + x * 2) = 6x + -1(5x + 10)
7 + (-8 + 2x) = 6x + -1(5x + 10)

Combine like terms: 7 + -8 = -1
-1 + 2x = 6x + -1(5x + 10)

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

Reorder the terms:
-1 + 2x = -10 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-1 + 2x = -10 + 1x

Solving
-1 + 2x = -10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 2x + -1x = -10 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 1x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 1x = -10 + 0
-1 + 1x = -10

Add '1' to each side of the equation.
-1 + 1 + 1x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -10 + 1
1x = -10 + 1

Combine like terms: -10 + 1 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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