Distribute the 3 to both terms inside the parentheses: \[ 4x - 10 = 3(x + 10) + 6 \] \[ 4x - 10 = 3x + 30 + 6 \]
Combine the constants on the right side: \[ 4x - 10 = 3x + 36 \]
Subtract 3x from both sides to get the variable term on one side: \[ 4x - 3x - 10 = 36 \] \[ x - 10 = 36 \]
Add 10 to both sides to solve for x: \[ x - 10 + 10 = 36 + 10 \] \[ x = 46 \]
\[ x = 46 \]
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