4(x-3)=40+3(x-7)-11

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Solution for 4(x-3)=40+3(x-7)-11 equation:


Simplifying
4(x + -3) = 40 + 3(x + -7) + -11

Reorder the terms:
4(-3 + x) = 40 + 3(x + -7) + -11
(-3 * 4 + x * 4) = 40 + 3(x + -7) + -11
(-12 + 4x) = 40 + 3(x + -7) + -11

Reorder the terms:
-12 + 4x = 40 + 3(-7 + x) + -11
-12 + 4x = 40 + (-7 * 3 + x * 3) + -11
-12 + 4x = 40 + (-21 + 3x) + -11

Reorder the terms:
-12 + 4x = 40 + -21 + -11 + 3x

Combine like terms: 40 + -21 = 19
-12 + 4x = 19 + -11 + 3x

Combine like terms: 19 + -11 = 8
-12 + 4x = 8 + 3x

Solving
-12 + 4x = 8 + 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.
-12 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-12 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 1x = 8 + 0
-12 + 1x = 8

Add '12' to each side of the equation.
-12 + 12 + 1x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 8 + 12
1x = 8 + 12

Combine like terms: 8 + 12 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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