4(x-1)+3=3(x+1)-5

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Solution for 4(x-1)+3=3(x+1)-5 equation:


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

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

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

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

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

Reorder the terms:
-1 + 4x = 3 + -5 + 3x

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

Solving
-1 + 4x = -2 + 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.
-1 + 4x + -3x = -2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-1 + 1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 1x = -2 + 0
-1 + 1x = -2

Add '1' to each side of the equation.
-1 + 1 + 1x = -2 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -2 + 1
1x = -2 + 1

Combine like terms: -2 + 1 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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