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

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


Simplifying
7x + -3(x + -2) = 4(5 + -1x)

Reorder the terms:
7x + -3(-2 + x) = 4(5 + -1x)
7x + (-2 * -3 + x * -3) = 4(5 + -1x)
7x + (6 + -3x) = 4(5 + -1x)

Reorder the terms:
6 + 7x + -3x = 4(5 + -1x)

Combine like terms: 7x + -3x = 4x
6 + 4x = 4(5 + -1x)
6 + 4x = (5 * 4 + -1x * 4)
6 + 4x = (20 + -4x)

Solving
6 + 4x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 4x + 4x = 20 + -4x + 4x

Combine like terms: 4x + 4x = 8x
6 + 8x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 8x = 20 + 0
6 + 8x = 20

Add '-6' to each side of the equation.
6 + -6 + 8x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 20 + -6
8x = 20 + -6

Combine like terms: 20 + -6 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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