4(3x+2)+3(2x+3)=7(2x+5)+28

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Solution for 4(3x+2)+3(2x+3)=7(2x+5)+28 equation:


Simplifying
4(3x + 2) + 3(2x + 3) = 7(2x + 5) + 28

Reorder the terms:
4(2 + 3x) + 3(2x + 3) = 7(2x + 5) + 28
(2 * 4 + 3x * 4) + 3(2x + 3) = 7(2x + 5) + 28
(8 + 12x) + 3(2x + 3) = 7(2x + 5) + 28

Reorder the terms:
8 + 12x + 3(3 + 2x) = 7(2x + 5) + 28
8 + 12x + (3 * 3 + 2x * 3) = 7(2x + 5) + 28
8 + 12x + (9 + 6x) = 7(2x + 5) + 28

Reorder the terms:
8 + 9 + 12x + 6x = 7(2x + 5) + 28

Combine like terms: 8 + 9 = 17
17 + 12x + 6x = 7(2x + 5) + 28

Combine like terms: 12x + 6x = 18x
17 + 18x = 7(2x + 5) + 28

Reorder the terms:
17 + 18x = 7(5 + 2x) + 28
17 + 18x = (5 * 7 + 2x * 7) + 28
17 + 18x = (35 + 14x) + 28

Reorder the terms:
17 + 18x = 35 + 28 + 14x

Combine like terms: 35 + 28 = 63
17 + 18x = 63 + 14x

Solving
17 + 18x = 63 + 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.
17 + 18x + -14x = 63 + 14x + -14x

Combine like terms: 18x + -14x = 4x
17 + 4x = 63 + 14x + -14x

Combine like terms: 14x + -14x = 0
17 + 4x = 63 + 0
17 + 4x = 63

Add '-17' to each side of the equation.
17 + -17 + 4x = 63 + -17

Combine like terms: 17 + -17 = 0
0 + 4x = 63 + -17
4x = 63 + -17

Combine like terms: 63 + -17 = 46
4x = 46

Divide each side by '4'.
x = 11.5

Simplifying
x = 11.5

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