2(2x-17)+4=-3(3+x)

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Solution for 2(2x-17)+4=-3(3+x) equation:


Simplifying
2(2x + -17) + 4 = -3(3 + x)

Reorder the terms:
2(-17 + 2x) + 4 = -3(3 + x)
(-17 * 2 + 2x * 2) + 4 = -3(3 + x)
(-34 + 4x) + 4 = -3(3 + x)

Reorder the terms:
-34 + 4 + 4x = -3(3 + x)

Combine like terms: -34 + 4 = -30
-30 + 4x = -3(3 + x)
-30 + 4x = (3 * -3 + x * -3)
-30 + 4x = (-9 + -3x)

Solving
-30 + 4x = -9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-30 + 4x + 3x = -9 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-30 + 7x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-30 + 7x = -9 + 0
-30 + 7x = -9

Add '30' to each side of the equation.
-30 + 30 + 7x = -9 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = -9 + 30
7x = -9 + 30

Combine like terms: -9 + 30 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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