10(2x-3)+5x=6(x+1)+3x

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Solution for 10(2x-3)+5x=6(x+1)+3x equation:


Simplifying
10(2x + -3) + 5x = 6(x + 1) + 3x

Reorder the terms:
10(-3 + 2x) + 5x = 6(x + 1) + 3x
(-3 * 10 + 2x * 10) + 5x = 6(x + 1) + 3x
(-30 + 20x) + 5x = 6(x + 1) + 3x

Combine like terms: 20x + 5x = 25x
-30 + 25x = 6(x + 1) + 3x

Reorder the terms:
-30 + 25x = 6(1 + x) + 3x
-30 + 25x = (1 * 6 + x * 6) + 3x
-30 + 25x = (6 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
-30 + 25x = 6 + 9x

Solving
-30 + 25x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-30 + 25x + -9x = 6 + 9x + -9x

Combine like terms: 25x + -9x = 16x
-30 + 16x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-30 + 16x = 6 + 0
-30 + 16x = 6

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

Combine like terms: -30 + 30 = 0
0 + 16x = 6 + 30
16x = 6 + 30

Combine like terms: 6 + 30 = 36
16x = 36

Divide each side by '16'.
x = 2.25

Simplifying
x = 2.25

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