Expand and simplify 2(5x+4)+3(2x-1)

Algebraic expression includes at least one unknown variable and at least one mathematics operation. The simplified way to represent the given equation is .

The given algebraic expression is,

An algebraic expression is the mathematical expression of variable which is the combination of variables, coefficients of variables and constants.Algebraic expression includes at least one unknown variable and at least one mathematics operation.

Let is equal to the given expression. Thus,

The above equation consist one unknown variable x.

Solve the equation using the BODMOS rule. According to the BODMOS to solve a equation first open its bracket. Thus,

Arrange the equation with same power of the variables,

Hence the simplified way to represent the given equation is .

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2(5x+4)+3(2x-1)

Use the distributive property for both sets of parenthesis:

2(5x+4) = 2*5x + 2*4 = 10x+8

3(2x-1) = 3*2x - 3*1 = 6x-3

Now you have:

10x+8 + 6x-3

Now combine like terms:

10x + 6x = 16x

8-3 = 5

The final answer is 16x+5

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step-by-step explanation: