4x-7=32x+14

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Solution for 4x-7=32x+14 equation:


Simplifying
4x + -7 = 32x + 14

Reorder the terms:
-7 + 4x = 32x + 14

Reorder the terms:
-7 + 4x = 14 + 32x

Solving
-7 + 4x = 14 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-7 + 4x + -32x = 14 + 32x + -32x

Combine like terms: 4x + -32x = -28x
-7 + -28x = 14 + 32x + -32x

Combine like terms: 32x + -32x = 0
-7 + -28x = 14 + 0
-7 + -28x = 14

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

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

Combine like terms: 14 + 7 = 21
-28x = 21

Divide each side by '-28'.
x = -0.75

Simplifying
x = -0.75

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