5(х+4)-3(2-х)-(3+5)х-3

Let's simplify the expression step by step: Given expression: \[ 5(x+4) - 3(2 - x) - (3+5)x - 3 \] ### Step 1: Distribute the coefficients \[ 5x + 20 - 3 \times 2 + 3x - (3+5)x - 3 \] Wait, be careful with distributing \(-3\) over \((2 - x)\) and \(- (3+5) x\). Actually, it is better to keep the original expression: \[ 5(x+4) - 3(2 - x) - (3+5) x - 3 \] Now, distribute: - \( 5(x+4) = 5x + 20 \) - \( -3(2 - x) = -3 \times 2 + (-3)(-x) = -6 + 3x \) (Note the minus sign before 3(2 - x)) - \( - (3+5) x = -8x \) - The last term is \(-3\) ### Step 2: Combine all parts Now, write everything out: \[ 5x + 20 - 6 + 3x - 8x - 3 \] ### Step 3: Combine like terms - Coefficients of \(x\): \[ 5x + 3x - 8x = (5 + 3 - 8) x = 0x = 0 \] - Constant terms: \[ 20 - 6 - 3 = 20 - 9 = 11 \] ### Final simplified expression: \[ 0x + 11 = \boxed{11} \] **Answer: \(\boxed{11}\)**