3-7x+10x-14=-9+6x+9x-20

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Solution for 3-7x+10x-14=-9+6x+9x-20 equation:


Simplifying
3 + -7x + 10x + -14 = -9 + 6x + 9x + -20

Reorder the terms:
3 + -14 + -7x + 10x = -9 + 6x + 9x + -20

Combine like terms: 3 + -14 = -11
-11 + -7x + 10x = -9 + 6x + 9x + -20

Combine like terms: -7x + 10x = 3x
-11 + 3x = -9 + 6x + 9x + -20

Reorder the terms:
-11 + 3x = -9 + -20 + 6x + 9x

Combine like terms: -9 + -20 = -29
-11 + 3x = -29 + 6x + 9x

Combine like terms: 6x + 9x = 15x
-11 + 3x = -29 + 15x

Solving
-11 + 3x = -29 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-11 + 3x + -15x = -29 + 15x + -15x

Combine like terms: 3x + -15x = -12x
-11 + -12x = -29 + 15x + -15x

Combine like terms: 15x + -15x = 0
-11 + -12x = -29 + 0
-11 + -12x = -29

Add '11' to each side of the equation.
-11 + 11 + -12x = -29 + 11

Combine like terms: -11 + 11 = 0
0 + -12x = -29 + 11
-12x = -29 + 11

Combine like terms: -29 + 11 = -18
-12x = -18

Divide each side by '-12'.
x = 1.5

Simplifying
x = 1.5

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