7(4x+5)+2(3x-9)=

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Solution for 7(4x+5)+2(3x-9)= equation:


Simplifying
7(4x + 5) + 2(3x + -9) = 0

Reorder the terms:
7(5 + 4x) + 2(3x + -9) = 0
(5 * 7 + 4x * 7) + 2(3x + -9) = 0
(35 + 28x) + 2(3x + -9) = 0

Reorder the terms:
35 + 28x + 2(-9 + 3x) = 0
35 + 28x + (-9 * 2 + 3x * 2) = 0
35 + 28x + (-18 + 6x) = 0

Reorder the terms:
35 + -18 + 28x + 6x = 0

Combine like terms: 35 + -18 = 17
17 + 28x + 6x = 0

Combine like terms: 28x + 6x = 34x
17 + 34x = 0

Solving
17 + 34x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 34x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 34x = 0 + -17
34x = 0 + -17

Combine like terms: 0 + -17 = -17
34x = -17

Divide each side by '34'.
x = -0.5

Simplifying
x = -0.5

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