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

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


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

Reorder the terms:
5x + 3(4 + 7x) = 7x + -9
5x + (4 * 3 + 7x * 3) = 7x + -9
5x + (12 + 21x) = 7x + -9

Reorder the terms:
12 + 5x + 21x = 7x + -9

Combine like terms: 5x + 21x = 26x
12 + 26x = 7x + -9

Reorder the terms:
12 + 26x = -9 + 7x

Solving
12 + 26x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 26x + -7x = -9 + 7x + -7x

Combine like terms: 26x + -7x = 19x
12 + 19x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + 19x = -9 + 0
12 + 19x = -9

Add '-12' to each side of the equation.
12 + -12 + 19x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 19x = -9 + -12
19x = -9 + -12

Combine like terms: -9 + -12 = -21
19x = -21

Divide each side by '19'.
x = -1.105263158

Simplifying
x = -1.105263158

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