What is the solution to the equation 4x - 6 = 10x - 3?

a
x = -2
b
x = 2
c
x = 1/2
d
x = -1/2

D. x= -1/2

Explanation:

Simplifying

4x + -6 = 10x + -3

Reorder the terms:

-6 + 4x = 10x + -3

Reorder the terms:

-6 + 4x = -3 + 10x

Solving

-6 + 4x = -3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.

-6 + 4x + -10x = -3 + 10x + -10x

Combine like terms: 4x + -10x = -6x

-6 + -6x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0

-6 + -6x = -3 + 0

-6 + -6x = -3

Add '6' to each side of the equation.

-6 + 6 + -6x = -3 + 6

Combine like terms: -6 + 6 = 0

0 + -6x = -3 + 6

-6x = -3 + 6

Combine like terms: -3 + 6 = 3

-6x = 3

Divide each side by '-6'.

x = -0.5

Simplifying

x = -0.5

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