To solve the equation \(10x - 29 - 7x = -53\), follow these steps: 1. Combine like terms on the left side: \[ (10x - 7x) - 29 = -53 \] This simplifies to: \[ 3x - 29 = -53 \] 2. Add 29 to both sides to isolate the term with \(x\): \[ 3x - 29 + 29 = -53 + 29 \] This simplifies to: \[ 3x = -24 \] 3. Divide both sides by 3 to solve for \(x\): \[ x = \frac{-24}{3} = -8 \] So, the solution to the equation \(10x - 29 - 7x = -53\) is \(x = -8\).

10x-29-7x=-53

1 answer

To solve the equation \(10x - 29 - 7x = -53\), follow these steps:

Combine like terms on the left side: \[ (10x - 7x) - 29 = -53 \] This simplifies to: \[ 3x - 29 = -53 \]
Add 29 to both sides to isolate the term with \(x\): \[ 3x - 29 + 29 = -53 + 29 \] This simplifies to: \[ 3x = -24 \]
Divide both sides by 3 to solve for \(x\): \[ x = \frac{-24}{3} = -8 \]

So, the solution to the equation \(10x - 29 - 7x = -53\) is \(x = -8\).