2(2x-11)=3(x-10)+4-7

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Solution for 2(2x-11)=3(x-10)+4-7 equation: 


Simplifying
2(2x + -11) = 3(x + -10) + 4 + -7

Reorder the terms:
2(-11 + 2x) = 3(x + -10) + 4 + -7
(-11 * 2 + 2x * 2) = 3(x + -10) + 4 + -7
(-22 + 4x) = 3(x + -10) + 4 + -7

Reorder the terms:
-22 + 4x = 3(-10 + x) + 4 + -7
-22 + 4x = (-10 * 3 + x * 3) + 4 + -7
-22 + 4x = (-30 + 3x) + 4 + -7

Reorder the terms:
-22 + 4x = -30 + 4 + -7 + 3x

Combine like terms: -30 + 4 = -26
-22 + 4x = -26 + -7 + 3x

Combine like terms: -26 + -7 = -33
-22 + 4x = -33 + 3x

Solving
-22 + 4x = -33 + 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.
-22 + 4x + -3x = -33 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-22 + 1x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + 1x = -33 + 0
-22 + 1x = -33

Add '22' to each side of the equation.
-22 + 22 + 1x = -33 + 22

Combine like terms: -22 + 22 = 0
0 + 1x = -33 + 22
1x = -33 + 22

Combine like terms: -33 + 22 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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