2[5-3(4-x)]-7=3[2(5x-1)+8]-15

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Solution for 2[5-3(4-x)]-7=3[2(5x-1)+8]-15 equation: 


Simplifying
2[5 + -3(4 + -1x)] + -7 = 3[2(5x + -1) + 8] + -15
2[5 + (4 * -3 + -1x * -3)] + -7 = 3[2(5x + -1) + 8] + -15
2[5 + (-12 + 3x)] + -7 = 3[2(5x + -1) + 8] + -15

Combine like terms: 5 + -12 = -7
2[-7 + 3x] + -7 = 3[2(5x + -1) + 8] + -15
[-7 * 2 + 3x * 2] + -7 = 3[2(5x + -1) + 8] + -15
[-14 + 6x] + -7 = 3[2(5x + -1) + 8] + -15

Reorder the terms:
-14 + -7 + 6x = 3[2(5x + -1) + 8] + -15

Combine like terms: -14 + -7 = -21
-21 + 6x = 3[2(5x + -1) + 8] + -15

Reorder the terms:
-21 + 6x = 3[2(-1 + 5x) + 8] + -15
-21 + 6x = 3[(-1 * 2 + 5x * 2) + 8] + -15
-21 + 6x = 3[(-2 + 10x) + 8] + -15

Reorder the terms:
-21 + 6x = 3[-2 + 8 + 10x] + -15

Combine like terms: -2 + 8 = 6
-21 + 6x = 3[6 + 10x] + -15
-21 + 6x = [6 * 3 + 10x * 3] + -15
-21 + 6x = [18 + 30x] + -15

Reorder the terms:
-21 + 6x = 18 + -15 + 30x

Combine like terms: 18 + -15 = 3
-21 + 6x = 3 + 30x

Solving
-21 + 6x = 3 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-21 + 6x + -30x = 3 + 30x + -30x

Combine like terms: 6x + -30x = -24x
-21 + -24x = 3 + 30x + -30x

Combine like terms: 30x + -30x = 0
-21 + -24x = 3 + 0
-21 + -24x = 3

Add '21' to each side of the equation.
-21 + 21 + -24x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + -24x = 3 + 21
-24x = 3 + 21

Combine like terms: 3 + 21 = 24
-24x = 24

Divide each side by '-24'.
x = -1

Simplifying
x = -1

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