5x-(9x+14)=3(x+10)-2

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Solution for 5x-(9x+14)=3(x+10)-2 equation:


Simplifying
5x + -1(9x + 14) = 3(x + 10) + -2

Reorder the terms:
5x + -1(14 + 9x) = 3(x + 10) + -2
5x + (14 * -1 + 9x * -1) = 3(x + 10) + -2
5x + (-14 + -9x) = 3(x + 10) + -2

Reorder the terms:
-14 + 5x + -9x = 3(x + 10) + -2

Combine like terms: 5x + -9x = -4x
-14 + -4x = 3(x + 10) + -2

Reorder the terms:
-14 + -4x = 3(10 + x) + -2
-14 + -4x = (10 * 3 + x * 3) + -2
-14 + -4x = (30 + 3x) + -2

Reorder the terms:
-14 + -4x = 30 + -2 + 3x

Combine like terms: 30 + -2 = 28
-14 + -4x = 28 + 3x

Solving
-14 + -4x = 28 + 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.
-14 + -4x + -3x = 28 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-14 + -7x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + -7x = 28 + 0
-14 + -7x = 28

Add '14' to each side of the equation.
-14 + 14 + -7x = 28 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = 28 + 14
-7x = 28 + 14

Combine like terms: 28 + 14 = 42
-7x = 42

Divide each side by '-7'.
x = -6

Simplifying
x = -6

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