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

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


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

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

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

Reorder the terms:
7 + -2x = 4 + 3(-4 + x)
7 + -2x = 4 + (-4 * 3 + x * 3)
7 + -2x = 4 + (-12 + 3x)

Combine like terms: 4 + -12 = -8
7 + -2x = -8 + 3x

Solving
7 + -2x = -8 + 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.
7 + -2x + -3x = -8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
7 + -5x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -5x = -8 + 0
7 + -5x = -8

Add '-7' to each side of the equation.
7 + -7 + -5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -8 + -7
-5x = -8 + -7

Combine like terms: -8 + -7 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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