3(7x+8)+4=2(x-7)-15

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Solution for 3(7x+8)+4=2(x-7)-15 equation: 


Simplifying
3(7x + 8) + 4 = 2(x + -7) + -15

Reorder the terms:
3(8 + 7x) + 4 = 2(x + -7) + -15
(8 * 3 + 7x * 3) + 4 = 2(x + -7) + -15
(24 + 21x) + 4 = 2(x + -7) + -15

Reorder the terms:
24 + 4 + 21x = 2(x + -7) + -15

Combine like terms: 24 + 4 = 28
28 + 21x = 2(x + -7) + -15

Reorder the terms:
28 + 21x = 2(-7 + x) + -15
28 + 21x = (-7 * 2 + x * 2) + -15
28 + 21x = (-14 + 2x) + -15

Reorder the terms:
28 + 21x = -14 + -15 + 2x

Combine like terms: -14 + -15 = -29
28 + 21x = -29 + 2x

Solving
28 + 21x = -29 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + 21x + -2x = -29 + 2x + -2x

Combine like terms: 21x + -2x = 19x
28 + 19x = -29 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 19x = -29 + 0
28 + 19x = -29

Add '-28' to each side of the equation.
28 + -28 + 19x = -29 + -28

Combine like terms: 28 + -28 = 0
0 + 19x = -29 + -28
19x = -29 + -28

Combine like terms: -29 + -28 = -57
19x = -57

Divide each side by '19'.
x = -3

Simplifying
x = -3

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