3(2x+5)-2(4x+1)=

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Solution for 3(2x+5)-2(4x+1)= equation:


Simplifying
3(2x + 5) + -2(4x + 1) = 0

Reorder the terms:
3(5 + 2x) + -2(4x + 1) = 0
(5 * 3 + 2x * 3) + -2(4x + 1) = 0
(15 + 6x) + -2(4x + 1) = 0

Reorder the terms:
15 + 6x + -2(1 + 4x) = 0
15 + 6x + (1 * -2 + 4x * -2) = 0
15 + 6x + (-2 + -8x) = 0

Reorder the terms:
15 + -2 + 6x + -8x = 0

Combine like terms: 15 + -2 = 13
13 + 6x + -8x = 0

Combine like terms: 6x + -8x = -2x
13 + -2x = 0

Solving
13 + -2x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 0 + -13
-2x = 0 + -13

Combine like terms: 0 + -13 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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