Answer:
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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