4(x-7)=3x-5

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


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

Reorder the terms:
4(-7 + x) = 3x + -5
(-7 * 4 + x * 4) = 3x + -5
(-28 + 4x) = 3x + -5

Reorder the terms:
-28 + 4x = -5 + 3x

Solving
-28 + 4x = -5 + 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.
-28 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-28 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 1x = -5 + 0
-28 + 1x = -5

Add '28' to each side of the equation.
-28 + 28 + 1x = -5 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = -5 + 28
1x = -5 + 28

Combine like terms: -5 + 28 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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