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

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


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

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

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

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

Reorder the terms:
7 + -2x = 6 + 4 + 3x

Combine like terms: 6 + 4 = 10
7 + -2x = 10 + 3x

Solving
7 + -2x = 10 + 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 = 10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
7 + -5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -5x = 10 + 0
7 + -5x = 10

Add '-7' to each side of the equation.
7 + -7 + -5x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 10 + -7
-5x = 10 + -7

Combine like terms: 10 + -7 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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