3+2(7x-9)=4(-2x-3)-15

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Solution for 3+2(7x-9)=4(-2x-3)-15 equation:


Simplifying
3 + 2(7x + -9) = 4(-2x + -3) + -15

Reorder the terms:
3 + 2(-9 + 7x) = 4(-2x + -3) + -15
3 + (-9 * 2 + 7x * 2) = 4(-2x + -3) + -15
3 + (-18 + 14x) = 4(-2x + -3) + -15

Combine like terms: 3 + -18 = -15
-15 + 14x = 4(-2x + -3) + -15

Reorder the terms:
-15 + 14x = 4(-3 + -2x) + -15
-15 + 14x = (-3 * 4 + -2x * 4) + -15
-15 + 14x = (-12 + -8x) + -15

Reorder the terms:
-15 + 14x = -12 + -15 + -8x

Combine like terms: -12 + -15 = -27
-15 + 14x = -27 + -8x

Solving
-15 + 14x = -27 + -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.
-15 + 14x + 8x = -27 + -8x + 8x

Combine like terms: 14x + 8x = 22x
-15 + 22x = -27 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 22x = -27 + 0
-15 + 22x = -27

Add '15' to each side of the equation.
-15 + 15 + 22x = -27 + 15

Combine like terms: -15 + 15 = 0
0 + 22x = -27 + 15
22x = -27 + 15

Combine like terms: -27 + 15 = -12
22x = -12

Divide each side by '22'.
x = -0.5454545455

Simplifying
x = -0.5454545455

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