40-2(4x+3)=7x-11

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Solution for 40-2(4x+3)=7x-11 equation:


Simplifying
40 + -2(4x + 3) = 7x + -11

Reorder the terms:
40 + -2(3 + 4x) = 7x + -11
40 + (3 * -2 + 4x * -2) = 7x + -11
40 + (-6 + -8x) = 7x + -11

Combine like terms: 40 + -6 = 34
34 + -8x = 7x + -11

Reorder the terms:
34 + -8x = -11 + 7x

Solving
34 + -8x = -11 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
34 + -8x + -7x = -11 + 7x + -7x

Combine like terms: -8x + -7x = -15x
34 + -15x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -15x = -11 + 0
34 + -15x = -11

Add '-34' to each side of the equation.
34 + -34 + -15x = -11 + -34

Combine like terms: 34 + -34 = 0
0 + -15x = -11 + -34
-15x = -11 + -34

Combine like terms: -11 + -34 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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