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

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


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

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

Reorder the terms:
-12 + 7 + 4x = 3(x + -4)

Combine like terms: -12 + 7 = -5
-5 + 4x = 3(x + -4)

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

Solving
-5 + 4x = -12 + 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.
-5 + 4x + -3x = -12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-5 + 1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 1x = -12 + 0
-5 + 1x = -12

Add '5' to each side of the equation.
-5 + 5 + 1x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -12 + 5
1x = -12 + 5

Combine like terms: -12 + 5 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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