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

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


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

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

Reorder the terms:
x + 3 + -2x + -1[3(-5 + x) + -1(x + 2)] = 2x + -7
x + 3 + -2x + -1[(-5 * 3 + x * 3) + -1(x + 2)] = 2x + -7
x + 3 + -2x + -1[(-15 + 3x) + -1(x + 2)] = 2x + -7

Reorder the terms:
x + 3 + -2x + -1[-15 + 3x + -1(2 + x)] = 2x + -7
x + 3 + -2x + -1[-15 + 3x + (2 * -1 + x * -1)] = 2x + -7
x + 3 + -2x + -1[-15 + 3x + (-2 + -1x)] = 2x + -7

Reorder the terms:
x + 3 + -2x + -1[-15 + -2 + 3x + -1x] = 2x + -7

Combine like terms: -15 + -2 = -17
x + 3 + -2x + -1[-17 + 3x + -1x] = 2x + -7

Combine like terms: 3x + -1x = 2x
x + 3 + -2x + -1[-17 + 2x] = 2x + -7
x + 3 + -2x + [-17 * -1 + 2x * -1] = 2x + -7
x + 3 + -2x + [17 + -2x] = 2x + -7

Reorder the terms:
3 + 17 + x + -2x + -2x = 2x + -7

Combine like terms: 3 + 17 = 20
20 + x + -2x + -2x = 2x + -7

Combine like terms: x + -2x = -1x
20 + -1x + -2x = 2x + -7

Combine like terms: -1x + -2x = -3x
20 + -3x = 2x + -7

Reorder the terms:
20 + -3x = -7 + 2x

Solving
20 + -3x = -7 + 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.
20 + -3x + -2x = -7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
20 + -5x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -5x = -7 + 0
20 + -5x = -7

Add '-20' to each side of the equation.
20 + -20 + -5x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -7 + -20
-5x = -7 + -20

Combine like terms: -7 + -20 = -27
-5x = -27

Divide each side by '-5'.
x = 5.4

Simplifying
x = 5.4

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