5+(2x-3)=x-(4x+10)

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Solution for 5+(2x-3)=x-(4x+10) equation:


Simplifying
5 + (2x + -3) = x + -1(4x + 10)

Reorder the terms:
5 + (-3 + 2x) = x + -1(4x + 10)

Remove parenthesis around (-3 + 2x)
5 + -3 + 2x = x + -1(4x + 10)

Combine like terms: 5 + -3 = 2
2 + 2x = x + -1(4x + 10)

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

Reorder the terms:
2 + 2x = -10 + x + -4x

Combine like terms: x + -4x = -3x
2 + 2x = -10 + -3x

Solving
2 + 2x = -10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 2x + 3x = -10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
2 + 5x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = -10 + 0
2 + 5x = -10

Add '-2' to each side of the equation.
2 + -2 + 5x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -10 + -2
5x = -10 + -2

Combine like terms: -10 + -2 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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