![To solve the equation \(2.5(10x - 16) = 5\), follow these steps:
1. Distribute \(2.5\) on the left side:
\[
25x - 40 = 5
\]
2. Add \(40\) to both sides:
\[
25x = 45
\]
3. Divide by \(25\):
\[
x = \frac{45}{25} = 1.8
\]
The value of \(x\) that solves the equation is \(1.8\).](https://theinternetioimages-f2htc2ggcrath6d7.z01.azurefd.net/$web/askai/9b09e1e1-81af-428b-8655-fa732065c1af.webp)
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Question: 2.5(10x-16)=5 what value of x solves the equation ? answer as a decimal
Asked by thevttv56
To solve the equation \( 2.5(10x - 16) = 5 \), follow these steps: 1. Distribute \( 2.5 \) to both terms inside the parentheses: \[ 2.5 \cdot 10x - 2.5 \cdot 16 = 5 \] \[ 25x - 40 = 5 \] 2. Add 40 to both sides of the equation to isolate the term with \( x \): \[ 25x - 40 + 40 = 5 + 40 \] \[ 25x = 45 \] 3. Divide both sides by 25 to solve for \( x \): \[ x = \frac{45}{25} \] \[ x = 1.8 \] So the value of \( x \) that solves the equation \( 2.5(10x - 16) = 5 \) is \( x = 1.8 \).
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