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

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


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

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

Combine like terms: 4 + -3 = 1
1 + -2x = 7 + -5(2x + -4)

Reorder the terms:
1 + -2x = 7 + -5(-4 + 2x)
1 + -2x = 7 + (-4 * -5 + 2x * -5)
1 + -2x = 7 + (20 + -10x)

Combine like terms: 7 + 20 = 27
1 + -2x = 27 + -10x

Solving
1 + -2x = 27 + -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.
1 + -2x + 10x = 27 + -10x + 10x

Combine like terms: -2x + 10x = 8x
1 + 8x = 27 + -10x + 10x

Combine like terms: -10x + 10x = 0
1 + 8x = 27 + 0
1 + 8x = 27

Add '-1' to each side of the equation.
1 + -1 + 8x = 27 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 27 + -1
8x = 27 + -1

Combine like terms: 27 + -1 = 26
8x = 26

Divide each side by '8'.
x = 3.25

Simplifying
x = 3.25

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