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

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


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

Reorder the terms:
4(-3 + 2x) = 5x + -7
(-3 * 4 + 2x * 4) = 5x + -7
(-12 + 8x) = 5x + -7

Reorder the terms:
-12 + 8x = -7 + 5x

Solving
-12 + 8x = -7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-12 + 8x + -5x = -7 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-12 + 3x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 3x = -7 + 0
-12 + 3x = -7

Add '12' to each side of the equation.
-12 + 12 + 3x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -7 + 12
3x = -7 + 12

Combine like terms: -7 + 12 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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