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

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


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

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

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

Combine like terms: -8 + -7 = -15
-15 + 4x = 3(x + -5)

Reorder the terms:
-15 + 4x = 3(-5 + x)
-15 + 4x = (-5 * 3 + x * 3)
-15 + 4x = (-15 + 3x)

Add '15' to each side of the equation.
-15 + 15 + 4x = -15 + 15 + 3x

Combine like terms: -15 + 15 = 0
0 + 4x = -15 + 15 + 3x
4x = -15 + 15 + 3x

Combine like terms: -15 + 15 = 0
4x = 0 + 3x
4x = 3x

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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