6(x-7)+3(x+4)=2(x-20)

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Solution for 6(x-7)+3(x+4)=2(x-20) equation:


Simplifying
6(x + -7) + 3(x + 4) = 2(x + -20)

Reorder the terms:
6(-7 + x) + 3(x + 4) = 2(x + -20)
(-7 * 6 + x * 6) + 3(x + 4) = 2(x + -20)
(-42 + 6x) + 3(x + 4) = 2(x + -20)

Reorder the terms:
-42 + 6x + 3(4 + x) = 2(x + -20)
-42 + 6x + (4 * 3 + x * 3) = 2(x + -20)
-42 + 6x + (12 + 3x) = 2(x + -20)

Reorder the terms:
-42 + 12 + 6x + 3x = 2(x + -20)

Combine like terms: -42 + 12 = -30
-30 + 6x + 3x = 2(x + -20)

Combine like terms: 6x + 3x = 9x
-30 + 9x = 2(x + -20)

Reorder the terms:
-30 + 9x = 2(-20 + x)
-30 + 9x = (-20 * 2 + x * 2)
-30 + 9x = (-40 + 2x)

Solving
-30 + 9x = -40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-30 + 9x + -2x = -40 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-30 + 7x = -40 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 7x = -40 + 0
-30 + 7x = -40

Add '30' to each side of the equation.
-30 + 30 + 7x = -40 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = -40 + 30
7x = -40 + 30

Combine like terms: -40 + 30 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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