3(x+5)-35=-4(2x-6)

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Solution for 3(x+5)-35=-4(2x-6) equation:


Simplifying
3(x + 5) + -35 = -4(2x + -6)

Reorder the terms:
3(5 + x) + -35 = -4(2x + -6)
(5 * 3 + x * 3) + -35 = -4(2x + -6)
(15 + 3x) + -35 = -4(2x + -6)

Reorder the terms:
15 + -35 + 3x = -4(2x + -6)

Combine like terms: 15 + -35 = -20
-20 + 3x = -4(2x + -6)

Reorder the terms:
-20 + 3x = -4(-6 + 2x)
-20 + 3x = (-6 * -4 + 2x * -4)
-20 + 3x = (24 + -8x)

Solving
-20 + 3x = 24 + -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.
-20 + 3x + 8x = 24 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-20 + 11x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
-20 + 11x = 24 + 0
-20 + 11x = 24

Add '20' to each side of the equation.
-20 + 20 + 11x = 24 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 24 + 20
11x = 24 + 20

Combine like terms: 24 + 20 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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