Question

x+12+[3x+1+{8x-5(5x+3-2x-5)}]=30​

Answer 1

Correct Question :

• ${\sf{x\:+\:12\:+\; \bigg[3x\:+\:1\:+\:{9x\:-\:5\; \bigg(5x\:+\:3\:-\:2\:x\:-\:5\bigg)}\bigg] =\:30}}$

S O L U T I O N :

Step for solving LINEAR EQUATION :

• Step 1.
• Combine x and 3x to get 4x.

${\sf{4x\:+\:12\:+\:1\:+\:9x\:-\:5\:-\; \bigg(5x\:+\:3\:-2x\:-\:5\bigg)\;=\:30}}$

• Step 2.
• Add 12 and 1 to get 13.

${\sf{4x\:+\:13\:+\:9x\:−\:5\:−\; \bigg(5x\:+\:3\:−\:2x\:−\:5\bigg)\:=\:30}}$

• Step 3.
• Combine 5x and -2x to get 3x.

${\sf{4x\:+\:13\:+\:9x\:−\:5\:−\; \bigg(3x\:+\:3\:−\:5\bigg)\:=\:30}}$

• Step 4.
• Subtract 5 from 3 to get -2.

${\sf{4x\:+\:13\:+\:9x\:−\:5\:−\; \bigg(3x\:−\:2\bigg)\:=\:30}}$

• Step 5.
• To find the opposite of 3x - 2, find the opposite of each term.

${\sf{4x\:+\:13\:+\:9x\:−\:5\:−\:3x\:−\; \bigg(−2\bigg)\:=\:30}}$

• Step 6.
• The opposite of -2 is 2.

${\sf{4x\:+\:13\:+\:9x\:−\:5\:−\:3x\:+\:2\:=\:30}}$

• Step 7.
• Combine 9x and -3x to get 6x.

${\sf{4x\:+\:13\:+\:6x\:−\:5\:+\:2\:=\:30}}$

• Step 8.
• Add -5 and 2 to get -3.

${\sf{4x\:+\:13\:+\:6x\:−\:3\:=\:30}}$

• Step 9.
• Combine 4x and 6x to get 10x.

${\sf{10x\:+\:13\:−\:3\:=\:30}}$

• Step 10.
• Subtract 3 from 13 to get 10.

${\sf{10x\:+\:10=\:30}}$

• Step 11.
• Subtract 10 from both sides.

${\sf{10x\:=\:30\:−\:10}}$

• Step 12.
• Subtract 10 from 30 to get 20.

${\sf{10x\:=\:20}}$

• Step 13.
• Divide both sides by 10.

${\sf{x\:=\; \dfrac{20}{10}}}$

• Step 14.
• Now cut the digits 10 to 20.

${\sf{x\:=\; {\cancel{\dfrac{20}{10}}}}}$

• Step 15.
• Divide 20 by 10 to get 2.

:$\implies$${\underline{\boxed{\frak{\pink{x\:=\:2}}}}}$★

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

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