# Solve: −(3x − 4) = −4(x + 1) − 2.

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

## Answer: Solving for x in the equation−(3x − 4) = −4(x + 1) − 2 we get x = -10

An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still remains balanced. Let us use the transposing method to solve the given linear equation.

**Explanation:**

−(3x − 4) = −4(x + 1) − 2

let us expand the bracket and group the variables and constants. Thus we isolate the unknown variable x.

- 3x + 4 = - 4x - 4 - 2

4x - 3x = - 6 -4

x = - 10

### Therefore, the solution of the equation is x = -10

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