6(x+2)+3=10(2x-4)+5

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Solution for 6(x+2)+3=10(2x-4)+5 equation:


Simplifying
6(x + 2) + 3 = 10(2x + -4) + 5

Reorder the terms:
6(2 + x) + 3 = 10(2x + -4) + 5
(2 * 6 + x * 6) + 3 = 10(2x + -4) + 5
(12 + 6x) + 3 = 10(2x + -4) + 5

Reorder the terms:
12 + 3 + 6x = 10(2x + -4) + 5

Combine like terms: 12 + 3 = 15
15 + 6x = 10(2x + -4) + 5

Reorder the terms:
15 + 6x = 10(-4 + 2x) + 5
15 + 6x = (-4 * 10 + 2x * 10) + 5
15 + 6x = (-40 + 20x) + 5

Reorder the terms:
15 + 6x = -40 + 5 + 20x

Combine like terms: -40 + 5 = -35
15 + 6x = -35 + 20x

Solving
15 + 6x = -35 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
15 + 6x + -20x = -35 + 20x + -20x

Combine like terms: 6x + -20x = -14x
15 + -14x = -35 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + -14x = -35 + 0
15 + -14x = -35

Add '-15' to each side of the equation.
15 + -15 + -14x = -35 + -15

Combine like terms: 15 + -15 = 0
0 + -14x = -35 + -15
-14x = -35 + -15

Combine like terms: -35 + -15 = -50
-14x = -50

Divide each side by '-14'.
x = 3.571428571

Simplifying
x = 3.571428571

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