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

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


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

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

Reorder the terms:
1 + 2[-3 + 3x + -5(-3 + 2x)] = 2x + -7
1 + 2[-3 + 3x + (-3 * -5 + 2x * -5)] = 2x + -7
1 + 2[-3 + 3x + (15 + -10x)] = 2x + -7

Reorder the terms:
1 + 2[-3 + 15 + 3x + -10x] = 2x + -7

Combine like terms: -3 + 15 = 12
1 + 2[12 + 3x + -10x] = 2x + -7

Combine like terms: 3x + -10x = -7x
1 + 2[12 + -7x] = 2x + -7
1 + [12 * 2 + -7x * 2] = 2x + -7
1 + [24 + -14x] = 2x + -7

Combine like terms: 1 + 24 = 25
25 + -14x = 2x + -7

Reorder the terms:
25 + -14x = -7 + 2x

Solving
25 + -14x = -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.
25 + -14x + -2x = -7 + 2x + -2x

Combine like terms: -14x + -2x = -16x
25 + -16x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -16x = -7 + 0
25 + -16x = -7

Add '-25' to each side of the equation.
25 + -25 + -16x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + -16x = -7 + -25
-16x = -7 + -25

Combine like terms: -7 + -25 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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