3(5x+-7)+2(9x+-11)=4(8x+-7)

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Solution for 3(5x+-7)+2(9x+-11)=4(8x+-7) equation:


Simplifying
3(5x + -7) + 2(9x + -11) = 4(8x + -7)

Reorder the terms:
3(-7 + 5x) + 2(9x + -11) = 4(8x + -7)
(-7 * 3 + 5x * 3) + 2(9x + -11) = 4(8x + -7)
(-21 + 15x) + 2(9x + -11) = 4(8x + -7)

Reorder the terms:
-21 + 15x + 2(-11 + 9x) = 4(8x + -7)
-21 + 15x + (-11 * 2 + 9x * 2) = 4(8x + -7)
-21 + 15x + (-22 + 18x) = 4(8x + -7)

Reorder the terms:
-21 + -22 + 15x + 18x = 4(8x + -7)

Combine like terms: -21 + -22 = -43
-43 + 15x + 18x = 4(8x + -7)

Combine like terms: 15x + 18x = 33x
-43 + 33x = 4(8x + -7)

Reorder the terms:
-43 + 33x = 4(-7 + 8x)
-43 + 33x = (-7 * 4 + 8x * 4)
-43 + 33x = (-28 + 32x)

Solving
-43 + 33x = -28 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-43 + 33x + -32x = -28 + 32x + -32x

Combine like terms: 33x + -32x = 1x
-43 + 1x = -28 + 32x + -32x

Combine like terms: 32x + -32x = 0
-43 + 1x = -28 + 0
-43 + 1x = -28

Add '43' to each side of the equation.
-43 + 43 + 1x = -28 + 43

Combine like terms: -43 + 43 = 0
0 + 1x = -28 + 43
1x = -28 + 43

Combine like terms: -28 + 43 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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