Solve the equation. 1.5x-0.7=0.4(3-5x)

ArcactCatmedeq8

ArcactCatmedeq8

Answered question

2021-11-19

Solve the equation.
1.5x-0.7=0.4(3-5x)

Answer & Explanation

romancemrf

romancemrf

Beginner2021-11-20Added 14 answers

Step 1
we have,
1.5x−0.7=0.4(3−5x)
Step 2
1.5x−0.7=0.4(3−5x)
1.5x-0.7=1.2-2x
1.5x+2x=1.2+0.7
3.5x=1.9
x=1.93.5
x=1935 (answer)
Louis Smith

Louis Smith

Beginner2021-11-21Added 14 answers

Simplifying
1.5x + -0.7 = 0.4(3 + -5x)
Reorder the terms:
-0.7 + 1.5x = 0.4(3 + -5x)
-0.7 + 1.5x = (3 * 0.4 + -5x * 0.4)
-0.7 + 1.5x = (1.2 + -2x)
Solving
-0.7 + 1.5x = 1.2 + -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.
-0.7 + 1.5x + 2x = 1.2 + -2x + 2x
Combine like terms: 1.5x + 2x = 3.5x
-0.7 + 3.5x = 1.2 + -2x + 2x
Combine like terms: -2x + 2x = 0
-0.7 + 3.5x = 1.2 + 0
-0.7 + 3.5x = 1.2
Add 0.7 to each side of the equation.
-0.7 + 0.7 + 3.5x = 1.2 + 0.7
Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 3.5x = 1.2 + 0.7
3.5x = 1.2 + 0.7
Combine like terms: 1.2 + 0.7 = 1.9
3.5x = 1.9
Divide each side by 3.5.
x = 0.5428571429
Simplifying
x = 0.5428571429

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