11-4(x+8)=3(2x-7)-10

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Solution for 11-4(x+8)=3(2x-7)-10 equation: 


Simplifying
11 + -4(x + 8) = 3(2x + -7) + -10

Reorder the terms:
11 + -4(8 + x) = 3(2x + -7) + -10
11 + (8 * -4 + x * -4) = 3(2x + -7) + -10
11 + (-32 + -4x) = 3(2x + -7) + -10

Combine like terms: 11 + -32 = -21
-21 + -4x = 3(2x + -7) + -10

Reorder the terms:
-21 + -4x = 3(-7 + 2x) + -10
-21 + -4x = (-7 * 3 + 2x * 3) + -10
-21 + -4x = (-21 + 6x) + -10

Reorder the terms:
-21 + -4x = -21 + -10 + 6x

Combine like terms: -21 + -10 = -31
-21 + -4x = -31 + 6x

Solving
-21 + -4x = -31 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-21 + -4x + -6x = -31 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-21 + -10x = -31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + -10x = -31 + 0
-21 + -10x = -31

Add '21' to each side of the equation.
-21 + 21 + -10x = -31 + 21

Combine like terms: -21 + 21 = 0
0 + -10x = -31 + 21
-10x = -31 + 21

Combine like terms: -31 + 21 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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