6[4(8-x)-5(9+3x)]-21=-7[3(7+4x)-4]

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Solution for 6[4(8-x)-5(9+3x)]-21=-7[3(7+4x)-4] equation: 


Simplifying
6[4(8 + -1x) + -5(9 + 3x)] + -21 = -7[3(7 + 4x) + -4]
6[(8 * 4 + -1x * 4) + -5(9 + 3x)] + -21 = -7[3(7 + 4x) + -4]
6[(32 + -4x) + -5(9 + 3x)] + -21 = -7[3(7 + 4x) + -4]
6[32 + -4x + (9 * -5 + 3x * -5)] + -21 = -7[3(7 + 4x) + -4]
6[32 + -4x + (-45 + -15x)] + -21 = -7[3(7 + 4x) + -4]

Reorder the terms:
6[32 + -45 + -4x + -15x] + -21 = -7[3(7 + 4x) + -4]

Combine like terms: 32 + -45 = -13
6[-13 + -4x + -15x] + -21 = -7[3(7 + 4x) + -4]

Combine like terms: -4x + -15x = -19x
6[-13 + -19x] + -21 = -7[3(7 + 4x) + -4]
[-13 * 6 + -19x * 6] + -21 = -7[3(7 + 4x) + -4]
[-78 + -114x] + -21 = -7[3(7 + 4x) + -4]

Reorder the terms:
-78 + -21 + -114x = -7[3(7 + 4x) + -4]

Combine like terms: -78 + -21 = -99
-99 + -114x = -7[3(7 + 4x) + -4]
-99 + -114x = -7[(7 * 3 + 4x * 3) + -4]
-99 + -114x = -7[(21 + 12x) + -4]

Reorder the terms:
-99 + -114x = -7[21 + -4 + 12x]

Combine like terms: 21 + -4 = 17
-99 + -114x = -7[17 + 12x]
-99 + -114x = [17 * -7 + 12x * -7]
-99 + -114x = [-119 + -84x]

Solving
-99 + -114x = -119 + -84x

Solving for variable 'x'.

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

Add '84x' to each side of the equation.
-99 + -114x + 84x = -119 + -84x + 84x

Combine like terms: -114x + 84x = -30x
-99 + -30x = -119 + -84x + 84x

Combine like terms: -84x + 84x = 0
-99 + -30x = -119 + 0
-99 + -30x = -119

Add '99' to each side of the equation.
-99 + 99 + -30x = -119 + 99

Combine like terms: -99 + 99 = 0
0 + -30x = -119 + 99
-30x = -119 + 99

Combine like terms: -119 + 99 = -20
-30x = -20

Divide each side by '-30'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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