4+2(x-1)=5x-(x+10)

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Solution for 4+2(x-1)=5x-(x+10) equation:


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

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

Combine like terms: 4 + -2 = 2
2 + 2x = 5x + -1(x + 10)

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

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

Combine like terms: 5x + -1x = 4x
2 + 2x = -10 + 4x

Solving
2 + 2x = -10 + 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 + 2x + -4x = -10 + 4x + -4x

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

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

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

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

Combine like terms: -10 + -2 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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