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Answer
The simplified expression is \( -24x + 21 \).
Solution
Calculate or simplify the expression \( -3(4x-6)-7+2(4-(6x-1)) \).
Simplify the expression by following steps:
- step0: Solution:
\(-3\left(4x-6\right)-7+2\left(4-\left(6x-1\right)\right)\)
- step1: Subtract the terms:
\(-3\left(4x-6\right)-7+2\left(5-6x\right)\)
- step2: Expand the expression:
\(-12x+18-7+2\left(5-6x\right)\)
- step3: Expand the expression:
\(-12x+18-7+10-12x\)
- step4: Subtract the terms:
\(-24x+21\)
The simplified expression is \( -24x+21 \).
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Simplify this solution Mind Expander
To start simplifying the expression, let's distribute the negative sign and coefficients first: \(-3(4x - 6) = -12x + 18\) and \(2[4 - (6x - 1)] = 2[4 - 6x + 1] = 2[5 - 6x] = 10 - 12x\). Now we can put it all together: \[ [-12x + 18 - 7] + [10 - 12x] \] Simplifying this gives us: \[ -12x + 11 + 10 - 12x = -24x + 21. \] So the final simplified expression is \( -24x + 21 \).
