50-2(3x-4)=5(7-2x)

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Solution for 50-2(3x-4)=5(7-2x) equation:


Simplifying
50 + -2(3x + -4) = 5(7 + -2x)

Reorder the terms:
50 + -2(-4 + 3x) = 5(7 + -2x)
50 + (-4 * -2 + 3x * -2) = 5(7 + -2x)
50 + (8 + -6x) = 5(7 + -2x)

Combine like terms: 50 + 8 = 58
58 + -6x = 5(7 + -2x)
58 + -6x = (7 * 5 + -2x * 5)
58 + -6x = (35 + -10x)

Solving
58 + -6x = 35 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
58 + -6x + 10x = 35 + -10x + 10x

Combine like terms: -6x + 10x = 4x
58 + 4x = 35 + -10x + 10x

Combine like terms: -10x + 10x = 0
58 + 4x = 35 + 0
58 + 4x = 35

Add '-58' to each side of the equation.
58 + -58 + 4x = 35 + -58

Combine like terms: 58 + -58 = 0
0 + 4x = 35 + -58
4x = 35 + -58

Combine like terms: 35 + -58 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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