4(x-7)=7x-13

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Solution for 4(x-7)=7x-13 equation:


Simplifying
4(x + -7) = 7x + -13

Reorder the terms:
4(-7 + x) = 7x + -13
(-7 * 4 + x * 4) = 7x + -13
(-28 + 4x) = 7x + -13

Reorder the terms:
-28 + 4x = -13 + 7x

Solving
-28 + 4x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-28 + 4x + -7x = -13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-28 + -3x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + -3x = -13 + 0
-28 + -3x = -13

Add '28' to each side of the equation.
-28 + 28 + -3x = -13 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = -13 + 28
-3x = -13 + 28

Combine like terms: -13 + 28 = 15
-3x = 15

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

Simplifying
x = -5

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