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

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


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

Reorder the terms:
3x + -4(5 + 2x) = 3(x + -2) + 10
3x + (5 * -4 + 2x * -4) = 3(x + -2) + 10
3x + (-20 + -8x) = 3(x + -2) + 10

Reorder the terms:
-20 + 3x + -8x = 3(x + -2) + 10

Combine like terms: 3x + -8x = -5x
-20 + -5x = 3(x + -2) + 10

Reorder the terms:
-20 + -5x = 3(-2 + x) + 10
-20 + -5x = (-2 * 3 + x * 3) + 10
-20 + -5x = (-6 + 3x) + 10

Reorder the terms:
-20 + -5x = -6 + 10 + 3x

Combine like terms: -6 + 10 = 4
-20 + -5x = 4 + 3x

Solving
-20 + -5x = 4 + 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.
-20 + -5x + -3x = 4 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-20 + -8x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -8x = 4 + 0
-20 + -8x = 4

Add '20' to each side of the equation.
-20 + 20 + -8x = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -8x = 4 + 20
-8x = 4 + 20

Combine like terms: 4 + 20 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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