2x-[5-(1+x)]=5(x-2)-(7x+3)

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Solution for 2x-[5-(1+x)]=5(x-2)-(7x+3) equation:


Simplifying
2x + -1[5 + -1(1 + x)] = 5(x + -2) + -1(7x + 3)
2x + -1[5 + (1 * -1 + x * -1)] = 5(x + -2) + -1(7x + 3)
2x + -1[5 + (-1 + -1x)] = 5(x + -2) + -1(7x + 3)

Combine like terms: 5 + -1 = 4
2x + -1[4 + -1x] = 5(x + -2) + -1(7x + 3)
2x + [4 * -1 + -1x * -1] = 5(x + -2) + -1(7x + 3)
2x + [-4 + 1x] = 5(x + -2) + -1(7x + 3)

Reorder the terms:
-4 + 2x + 1x = 5(x + -2) + -1(7x + 3)

Combine like terms: 2x + 1x = 3x
-4 + 3x = 5(x + -2) + -1(7x + 3)

Reorder the terms:
-4 + 3x = 5(-2 + x) + -1(7x + 3)
-4 + 3x = (-2 * 5 + x * 5) + -1(7x + 3)
-4 + 3x = (-10 + 5x) + -1(7x + 3)

Reorder the terms:
-4 + 3x = -10 + 5x + -1(3 + 7x)
-4 + 3x = -10 + 5x + (3 * -1 + 7x * -1)
-4 + 3x = -10 + 5x + (-3 + -7x)

Reorder the terms:
-4 + 3x = -10 + -3 + 5x + -7x

Combine like terms: -10 + -3 = -13
-4 + 3x = -13 + 5x + -7x

Combine like terms: 5x + -7x = -2x
-4 + 3x = -13 + -2x

Solving
-4 + 3x = -13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 3x + 2x = -13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = -13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = -13 + 0
-4 + 5x = -13

Add '4' to each side of the equation.
-4 + 4 + 5x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -13 + 4
5x = -13 + 4

Combine like terms: -13 + 4 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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