3(x-3)-35=10x-2(x+7)

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Solution for 3(x-3)-35=10x-2(x+7) equation:


Simplifying
3(x + -3) + -35 = 10x + -2(x + 7)

Reorder the terms:
3(-3 + x) + -35 = 10x + -2(x + 7)
(-3 * 3 + x * 3) + -35 = 10x + -2(x + 7)
(-9 + 3x) + -35 = 10x + -2(x + 7)

Reorder the terms:
-9 + -35 + 3x = 10x + -2(x + 7)

Combine like terms: -9 + -35 = -44
-44 + 3x = 10x + -2(x + 7)

Reorder the terms:
-44 + 3x = 10x + -2(7 + x)
-44 + 3x = 10x + (7 * -2 + x * -2)
-44 + 3x = 10x + (-14 + -2x)

Reorder the terms:
-44 + 3x = -14 + 10x + -2x

Combine like terms: 10x + -2x = 8x
-44 + 3x = -14 + 8x

Solving
-44 + 3x = -14 + 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.
-44 + 3x + -8x = -14 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-44 + -5x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-44 + -5x = -14 + 0
-44 + -5x = -14

Add '44' to each side of the equation.
-44 + 44 + -5x = -14 + 44

Combine like terms: -44 + 44 = 0
0 + -5x = -14 + 44
-5x = -14 + 44

Combine like terms: -14 + 44 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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