Let's solve your equation step-by-step.<span><span>8−<span>2<span>(<span>3−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span>Step 1: Simplify both sides of the equation.<span><span>8−<span>2<span>(<span>3−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span><span><span><span>8+<span><span>(<span>−2</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span>(Distribute)<span><span><span><span>8+</span>−6</span>+<span>2x</span></span>=<span><span>4x</span>+6</span></span><span><span><span>(<span>2x</span>)</span>+<span>(<span>8+<span>−6</span></span>)</span></span>=<span><span>4x</span>+6</span></span>(Combine Like Terms)<span><span><span>2x</span>+2</span>=<span><span>4x</span>+6</span></span><span><span><span>2x</span>+2</span>=<span><span>4x</span>+6</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>2x</span>+2</span>−<span>4x</span></span>=<span><span><span>4x</span>+6</span>−<span>4x</span></span></span><span><span><span>−<span>2x</span></span>+2</span>=6</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>2x</span></span>+2</span>−2</span>=<span>6−2</span></span><span><span>−<span>2x</span></span>=4</span>Step 4: Divide both sides by -2.<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span>4<span>−2</span></span></span><span>x=<span>−2</span></span>Answer:<span>x=<span>−2</span></span>
The answer is C because the distributive property is multiplying one value to at the values in parentheses aka ( ). C. multiplies 0.4 to 2a and -0.3b to get the product of 0.8a -0.12b.
