Final answer:
To solve the equation 4(-2x + 9) = -2(3x - 7), distribute the terms, combine like terms, and solve for x.
Step-by-step explanation:
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
To solve the equation 4(-2x + 9) = -2(3x - 7), we need to distribute the terms on both sides of the equation. This gives us -8x + 36 = -6x + 14. Next, we can combine like terms by adding 8x to both sides of the equation. This gives us 36 = 2x + 14. Then, subtracting 14 from both sides gives us 22 = 2x. Finally, divide both sides by 2 to solve for x. This gives us x = 11.