-7+4(2x-10)=11x-2(1+4x)

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Solution for -7+4(2x-10)=11x-2(1+4x) equation:


Simplifying
-7 + 4(2x + -10) = 11x + -2(1 + 4x)

Reorder the terms:
-7 + 4(-10 + 2x) = 11x + -2(1 + 4x)
-7 + (-10 * 4 + 2x * 4) = 11x + -2(1 + 4x)
-7 + (-40 + 8x) = 11x + -2(1 + 4x)

Combine like terms: -7 + -40 = -47
-47 + 8x = 11x + -2(1 + 4x)
-47 + 8x = 11x + (1 * -2 + 4x * -2)
-47 + 8x = 11x + (-2 + -8x)

Reorder the terms:
-47 + 8x = -2 + 11x + -8x

Combine like terms: 11x + -8x = 3x
-47 + 8x = -2 + 3x

Solving
-47 + 8x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-47 + 8x + -3x = -2 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-47 + 5x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-47 + 5x = -2 + 0
-47 + 5x = -2

Add '47' to each side of the equation.
-47 + 47 + 5x = -2 + 47

Combine like terms: -47 + 47 = 0
0 + 5x = -2 + 47
5x = -2 + 47

Combine like terms: -2 + 47 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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