7(3x+21)-4(11-3x)=4(4x+1)-14(9-x)

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Solution for 7(3x+21)-4(11-3x)=4(4x+1)-14(9-x) equation:


Simplifying
7(3x + 21) + -4(11 + -3x) = 4(4x + 1) + -14(9 + -1x)

Reorder the terms:
7(21 + 3x) + -4(11 + -3x) = 4(4x + 1) + -14(9 + -1x)
(21 * 7 + 3x * 7) + -4(11 + -3x) = 4(4x + 1) + -14(9 + -1x)
(147 + 21x) + -4(11 + -3x) = 4(4x + 1) + -14(9 + -1x)
147 + 21x + (11 * -4 + -3x * -4) = 4(4x + 1) + -14(9 + -1x)
147 + 21x + (-44 + 12x) = 4(4x + 1) + -14(9 + -1x)

Reorder the terms:
147 + -44 + 21x + 12x = 4(4x + 1) + -14(9 + -1x)

Combine like terms: 147 + -44 = 103
103 + 21x + 12x = 4(4x + 1) + -14(9 + -1x)

Combine like terms: 21x + 12x = 33x
103 + 33x = 4(4x + 1) + -14(9 + -1x)

Reorder the terms:
103 + 33x = 4(1 + 4x) + -14(9 + -1x)
103 + 33x = (1 * 4 + 4x * 4) + -14(9 + -1x)
103 + 33x = (4 + 16x) + -14(9 + -1x)
103 + 33x = 4 + 16x + (9 * -14 + -1x * -14)
103 + 33x = 4 + 16x + (-126 + 14x)

Reorder the terms:
103 + 33x = 4 + -126 + 16x + 14x

Combine like terms: 4 + -126 = -122
103 + 33x = -122 + 16x + 14x

Combine like terms: 16x + 14x = 30x
103 + 33x = -122 + 30x

Solving
103 + 33x = -122 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
103 + 33x + -30x = -122 + 30x + -30x

Combine like terms: 33x + -30x = 3x
103 + 3x = -122 + 30x + -30x

Combine like terms: 30x + -30x = 0
103 + 3x = -122 + 0
103 + 3x = -122

Add '-103' to each side of the equation.
103 + -103 + 3x = -122 + -103

Combine like terms: 103 + -103 = 0
0 + 3x = -122 + -103
3x = -122 + -103

Combine like terms: -122 + -103 = -225
3x = -225

Divide each side by '3'.
x = -75

Simplifying
x = -75

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