4x-10(2x+3)=4x+6

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Solution for 4x-10(2x+3)=4x+6 equation:


Simplifying
4x + -10(2x + 3) = 4x + 6

Reorder the terms:
4x + -10(3 + 2x) = 4x + 6
4x + (3 * -10 + 2x * -10) = 4x + 6
4x + (-30 + -20x) = 4x + 6

Reorder the terms:
-30 + 4x + -20x = 4x + 6

Combine like terms: 4x + -20x = -16x
-30 + -16x = 4x + 6

Reorder the terms:
-30 + -16x = 6 + 4x

Solving
-30 + -16x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-30 + -16x + -4x = 6 + 4x + -4x

Combine like terms: -16x + -4x = -20x
-30 + -20x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + -20x = 6 + 0
-30 + -20x = 6

Add '30' to each side of the equation.
-30 + 30 + -20x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + -20x = 6 + 30
-20x = 6 + 30

Combine like terms: 6 + 30 = 36
-20x = 36

Divide each side by '-20'.
x = -1.8

Simplifying
x = -1.8

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