6(2x+5)-3x=14x+10

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Solution for 6(2x+5)-3x=14x+10 equation:


Simplifying
6(2x + 5) + -3x = 14x + 10

Reorder the terms:
6(5 + 2x) + -3x = 14x + 10
(5 * 6 + 2x * 6) + -3x = 14x + 10
(30 + 12x) + -3x = 14x + 10

Combine like terms: 12x + -3x = 9x
30 + 9x = 14x + 10

Reorder the terms:
30 + 9x = 10 + 14x

Solving
30 + 9x = 10 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
30 + 9x + -14x = 10 + 14x + -14x

Combine like terms: 9x + -14x = -5x
30 + -5x = 10 + 14x + -14x

Combine like terms: 14x + -14x = 0
30 + -5x = 10 + 0
30 + -5x = 10

Add '-30' to each side of the equation.
30 + -30 + -5x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = 10 + -30
-5x = 10 + -30

Combine like terms: 10 + -30 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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