x+5(3x-20)=10(x-4)

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Solution for x+5(3x-20)=10(x-4) equation:


Simplifying
x + 5(3x + -20) = 10(x + -4)

Reorder the terms:
x + 5(-20 + 3x) = 10(x + -4)
x + (-20 * 5 + 3x * 5) = 10(x + -4)
x + (-100 + 15x) = 10(x + -4)

Reorder the terms:
-100 + x + 15x = 10(x + -4)

Combine like terms: x + 15x = 16x
-100 + 16x = 10(x + -4)

Reorder the terms:
-100 + 16x = 10(-4 + x)
-100 + 16x = (-4 * 10 + x * 10)
-100 + 16x = (-40 + 10x)

Solving
-100 + 16x = -40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-100 + 16x + -10x = -40 + 10x + -10x

Combine like terms: 16x + -10x = 6x
-100 + 6x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-100 + 6x = -40 + 0
-100 + 6x = -40

Add '100' to each side of the equation.
-100 + 100 + 6x = -40 + 100

Combine like terms: -100 + 100 = 0
0 + 6x = -40 + 100
6x = -40 + 100

Combine like terms: -40 + 100 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10

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