4x+10-(2x-[5(x-3)-3])=3(x-5)

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Solution for 4x+10-(2x-[5(x-3)-3])=3(x-5) equation: 


Simplifying
4x + 10 + -1(2x + -1[5(x + -3) + -3]) = 3(x + -5)

Reorder the terms:
4x + 10 + -1(2x + -1[5(-3 + x) + -3]) = 3(x + -5)
4x + 10 + -1(2x + -1[(-3 * 5 + x * 5) + -3]) = 3(x + -5)
4x + 10 + -1(2x + -1[(-15 + 5x) + -3]) = 3(x + -5)

Reorder the terms:
4x + 10 + -1(2x + -1[-15 + -3 + 5x]) = 3(x + -5)

Combine like terms: -15 + -3 = -18
4x + 10 + -1(2x + -1[-18 + 5x]) = 3(x + -5)
4x + 10 + -1(2x + [-18 * -1 + 5x * -1]) = 3(x + -5)
4x + 10 + -1(2x + [18 + -5x]) = 3(x + -5)

Reorder the terms:
4x + 10 + -1(18 + 2x + -5x) = 3(x + -5)

Combine like terms: 2x + -5x = -3x
4x + 10 + -1(18 + -3x) = 3(x + -5)
4x + 10 + (18 * -1 + -3x * -1) = 3(x + -5)
4x + 10 + (-18 + 3x) = 3(x + -5)

Reorder the terms:
10 + -18 + 4x + 3x = 3(x + -5)

Combine like terms: 10 + -18 = -8
-8 + 4x + 3x = 3(x + -5)

Combine like terms: 4x + 3x = 7x
-8 + 7x = 3(x + -5)

Reorder the terms:
-8 + 7x = 3(-5 + x)
-8 + 7x = (-5 * 3 + x * 3)
-8 + 7x = (-15 + 3x)

Solving
-8 + 7x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 7x + -3x = -15 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-8 + 4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 4x = -15 + 0
-8 + 4x = -15

Add '8' to each side of the equation.
-8 + 8 + 4x = -15 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -15 + 8
4x = -15 + 8

Combine like terms: -15 + 8 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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