7x(3+8)-8(3x-4)=6+7(9+2x)

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Solution for 7x(3+8)-8(3x-4)=6+7(9+2x) equation:


Simplifying
7x(3 + 8) + -8(3x + -4) = 6 + 7(9 + 2x)

Combine like terms: 3 + 8 = 11
7x(11) + -8(3x + -4) = 6 + 7(9 + 2x)

Reorder the terms for easier multiplication:
7 * 11x + -8(3x + -4) = 6 + 7(9 + 2x)

Multiply 7 * 11
77x + -8(3x + -4) = 6 + 7(9 + 2x)

Reorder the terms:
77x + -8(-4 + 3x) = 6 + 7(9 + 2x)
77x + (-4 * -8 + 3x * -8) = 6 + 7(9 + 2x)
77x + (32 + -24x) = 6 + 7(9 + 2x)

Reorder the terms:
32 + 77x + -24x = 6 + 7(9 + 2x)

Combine like terms: 77x + -24x = 53x
32 + 53x = 6 + 7(9 + 2x)
32 + 53x = 6 + (9 * 7 + 2x * 7)
32 + 53x = 6 + (63 + 14x)

Combine like terms: 6 + 63 = 69
32 + 53x = 69 + 14x

Solving
32 + 53x = 69 + 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.
32 + 53x + -14x = 69 + 14x + -14x

Combine like terms: 53x + -14x = 39x
32 + 39x = 69 + 14x + -14x

Combine like terms: 14x + -14x = 0
32 + 39x = 69 + 0
32 + 39x = 69

Add '-32' to each side of the equation.
32 + -32 + 39x = 69 + -32

Combine like terms: 32 + -32 = 0
0 + 39x = 69 + -32
39x = 69 + -32

Combine like terms: 69 + -32 = 37
39x = 37

Divide each side by '39'.
x = 0.9487179487

Simplifying
x = 0.9487179487

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