7(2+5x)=11+4(8x+3)

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Solution for 7(2+5x)=11+4(8x+3) equation: 


Simplifying
7(2 + 5x) = 11 + 4(8x + 3)
(2 * 7 + 5x * 7) = 11 + 4(8x + 3)
(14 + 35x) = 11 + 4(8x + 3)

Reorder the terms:
14 + 35x = 11 + 4(3 + 8x)
14 + 35x = 11 + (3 * 4 + 8x * 4)
14 + 35x = 11 + (12 + 32x)

Combine like terms: 11 + 12 = 23
14 + 35x = 23 + 32x

Solving
14 + 35x = 23 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
14 + 35x + -32x = 23 + 32x + -32x

Combine like terms: 35x + -32x = 3x
14 + 3x = 23 + 32x + -32x

Combine like terms: 32x + -32x = 0
14 + 3x = 23 + 0
14 + 3x = 23

Add '-14' to each side of the equation.
14 + -14 + 3x = 23 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 23 + -14
3x = 23 + -14

Combine like terms: 23 + -14 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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