2x+4-3(x+5)=8x-20

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Solution for 2x+4-3(x+5)=8x-20 equation:


Simplifying
2x + 4 + -3(x + 5) = 8x + -20

Reorder the terms:
2x + 4 + -3(5 + x) = 8x + -20
2x + 4 + (5 * -3 + x * -3) = 8x + -20
2x + 4 + (-15 + -3x) = 8x + -20

Reorder the terms:
4 + -15 + 2x + -3x = 8x + -20

Combine like terms: 4 + -15 = -11
-11 + 2x + -3x = 8x + -20

Combine like terms: 2x + -3x = -1x
-11 + -1x = 8x + -20

Reorder the terms:
-11 + -1x = -20 + 8x

Solving
-11 + -1x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-11 + -1x + -8x = -20 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-11 + -9x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + -9x = -20 + 0
-11 + -9x = -20

Add '11' to each side of the equation.
-11 + 11 + -9x = -20 + 11

Combine like terms: -11 + 11 = 0
0 + -9x = -20 + 11
-9x = -20 + 11

Combine like terms: -20 + 11 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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