3x-4-2x+5=4x-14+3x-2

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Solution for 3x-4-2x+5=4x-14+3x-2 equation: 


Simplifying
3x + -4 + -2x + 5 = 4x + -14 + 3x + -2

Reorder the terms:
-4 + 5 + 3x + -2x = 4x + -14 + 3x + -2

Combine like terms: -4 + 5 = 1
1 + 3x + -2x = 4x + -14 + 3x + -2

Combine like terms: 3x + -2x = 1x
1 + 1x = 4x + -14 + 3x + -2

Reorder the terms:
1 + 1x = -14 + -2 + 4x + 3x

Combine like terms: -14 + -2 = -16
1 + 1x = -16 + 4x + 3x

Combine like terms: 4x + 3x = 7x
1 + 1x = -16 + 7x

Solving
1 + 1x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 1x + -7x = -16 + 7x + -7x

Combine like terms: 1x + -7x = -6x
1 + -6x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -6x = -16 + 0
1 + -6x = -16

Add '-1' to each side of the equation.
1 + -1 + -6x = -16 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = -16 + -1
-6x = -16 + -1

Combine like terms: -16 + -1 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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