6(2x+11)+7(4x-3)=

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Solution for 6(2x+11)+7(4x-3)= equation:


Simplifying
6(2x + 11) + 7(4x + -3) = 0

Reorder the terms:
6(11 + 2x) + 7(4x + -3) = 0
(11 * 6 + 2x * 6) + 7(4x + -3) = 0
(66 + 12x) + 7(4x + -3) = 0

Reorder the terms:
66 + 12x + 7(-3 + 4x) = 0
66 + 12x + (-3 * 7 + 4x * 7) = 0
66 + 12x + (-21 + 28x) = 0

Reorder the terms:
66 + -21 + 12x + 28x = 0

Combine like terms: 66 + -21 = 45
45 + 12x + 28x = 0

Combine like terms: 12x + 28x = 40x
45 + 40x = 0

Solving
45 + 40x = 0

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 40x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 40x = 0 + -45
40x = 0 + -45

Combine like terms: 0 + -45 = -45
40x = -45

Divide each side by '40'.
x = -1.125

Simplifying
x = -1.125

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