223=3(2x+1)-4(4x+7)+21

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Solution for 223=3(2x+1)-4(4x+7)+21 equation:


Simplifying
223 = 3(2x + 1) + -4(4x + 7) + 21

Reorder the terms:
223 = 3(1 + 2x) + -4(4x + 7) + 21
223 = (1 * 3 + 2x * 3) + -4(4x + 7) + 21
223 = (3 + 6x) + -4(4x + 7) + 21

Reorder the terms:
223 = 3 + 6x + -4(7 + 4x) + 21
223 = 3 + 6x + (7 * -4 + 4x * -4) + 21
223 = 3 + 6x + (-28 + -16x) + 21

Reorder the terms:
223 = 3 + -28 + 21 + 6x + -16x

Combine like terms: 3 + -28 = -25
223 = -25 + 21 + 6x + -16x

Combine like terms: -25 + 21 = -4
223 = -4 + 6x + -16x

Combine like terms: 6x + -16x = -10x
223 = -4 + -10x

Solving
223 = -4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
223 + 10x = -4 + -10x + 10x

Combine like terms: -10x + 10x = 0
223 + 10x = -4 + 0
223 + 10x = -4

Add '-223' to each side of the equation.
223 + -223 + 10x = -4 + -223

Combine like terms: 223 + -223 = 0
0 + 10x = -4 + -223
10x = -4 + -223

Combine like terms: -4 + -223 = -227
10x = -227

Divide each side by '10'.
x = -22.7

Simplifying
x = -22.7

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