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

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


Simplifying
5(2x + -7) + -1[4(2x + -3) + 2] = 0

Reorder the terms:
5(-7 + 2x) + -1[4(2x + -3) + 2] = 0
(-7 * 5 + 2x * 5) + -1[4(2x + -3) + 2] = 0
(-35 + 10x) + -1[4(2x + -3) + 2] = 0

Reorder the terms:
-35 + 10x + -1[4(-3 + 2x) + 2] = 0
-35 + 10x + -1[(-3 * 4 + 2x * 4) + 2] = 0
-35 + 10x + -1[(-12 + 8x) + 2] = 0

Reorder the terms:
-35 + 10x + -1[-12 + 2 + 8x] = 0

Combine like terms: -12 + 2 = -10
-35 + 10x + -1[-10 + 8x] = 0
-35 + 10x + [-10 * -1 + 8x * -1] = 0
-35 + 10x + [10 + -8x] = 0

Reorder the terms:
-35 + 10 + 10x + -8x = 0

Combine like terms: -35 + 10 = -25
-25 + 10x + -8x = 0

Combine like terms: 10x + -8x = 2x
-25 + 2x = 0

Solving
-25 + 2x = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

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

Combine like terms: 0 + 25 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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